31296 has 28 divisors (see below), whose sum is σ = 83312. Its totient is φ = 10368.

The previous prime is 31277. The next prime is 31307. The reversal of 31296 is 69213.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31296.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111 + ... + 273.

2³¹²⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41656).

31296 is an abundant number, since it is smaller than the sum of its proper divisors (52016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31296 is a wasteful number, since it uses less digits than its factorization.

31296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 31296 is about 176.9067551000. The cubic root of 31296 is about 31.5134737018.

The spelling of 31296 in words is "thirty-one thousand, two hundred ninety-six".