31996965 has 64 divisors (see below), whose sum is σ = 68769792. Its totient is φ = 12268800.

The previous prime is 31996961. The next prime is 31996973. The reversal of 31996965 is 56969913.

It is not a de Polignac number, because 31996965 - 2² = 31996961 is a prime.

It is a super-2 number, since 2×31996965² = 2047611538422450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31996961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13950 + ... + 16080.

It is an arithmetic number, because the mean of its divisors is an integer number (1074528).

Almost surely, 2^31996965 is an apocalyptic number.

31996965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31996965 is an abundant number, since it is smaller than the sum of its proper divisors (36772827).

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

31996965 is a wasteful number, since it uses less digits than its factorization.

31996965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170.

The product of its digits is 393660, while the sum is 48.

The square root of 31996965 is about 5656.5859844963. The cubic root of 31996965 is about 317.4701730717.

The spelling of 31996965 in words is "thirty-one million, nine hundred ninety-six thousand, nine hundred sixty-five".