693 has 12 divisors (see below), whose sum is σ = 1248. Its totient is φ = 360.

The previous prime is 691. The next prime is 701. The reversal of 693 is 396.

Added to its reverse (396) it gives a square (1089 = 33^{2}).

693 is nontrivially palindromic in base 2, base 6, base 13 and base 15.

It is not a de Polignac number, because 693 - 2^{1} = 691 is a prime.

It is a D-number.

693 is an undulating number in base 13 and base 15.

693 is a lucky number.

It is a plaindrome in base 12 and base 14.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 68.

It is an arithmetic number, because the mean of its divisors is an integer number (104).

2^{693} is an apocalyptic number.

693 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

693 is a deficient number, since it is larger than the sum of its proper divisors (555).

693 is a wasteful number, since it uses less digits than its factorization.

693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 21 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 693 is about 26.3248931622. The cubic root of 693 is about 8.8493440096.

Adding to 693 its reverse (396), we get a square (1089 = 33^{2}).

It can be divided in two parts, 6 and 93, that added together give a palindrome (99).

The spelling of 693 in words is "six hundred ninety-three", and thus it is an aban number and an oban number.

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