31329 has 9 divisors (see below), whose sum is σ = 46033. Its totient is φ = 20532.

The previous prime is 31327. The next prime is 31333. The reversal of 31329 is 92313.

31329 = T_{176} + T_{177}.

The square root of 31329 is 177.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 31329 - 2^{1} = 31327 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 31329.

It is not an unprimeable number, because it can be changed into a prime (31321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 502 + ... + 560.

2^{31329} is an apocalyptic number.

31329 is the 177-th square number.

31329 is the 89-th centered octagonal number.

It is an amenable number.

31329 is a deficient number, since it is larger than the sum of its proper divisors (14704).

31329 is an equidigital number, since it uses as much as digits as its factorization.

31329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

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

The cubic root of 31329 is about 31.5245462492.

The spelling of 31329 in words is "thirty-one thousand, three hundred twenty-nine".

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