31964131 has 16 divisors (see below), whose sum is σ = 35278848. Its totient is φ = 28828800.

The previous prime is 31964117. The next prime is 31964147. The reversal of 31964131 is 13146913.

It is a cyclic number.

It is not a de Polignac number, because 31964131 - 2¹⁵ = 31931363 is a prime.

It is a super-2 number, since 2×31964131² = 2043411341170322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31964131.

It is not an unprimeable number, because it can be changed into a prime (31964171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68806 + ... + 69268.

It is an arithmetic number, because the mean of its divisors is an integer number (2204928).

Almost surely, 2^31964131 is an apocalyptic number.

31964131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31964131 is a deficient number, since it is larger than the sum of its proper divisors (3314717).

31964131 is a wasteful number, since it uses less digits than its factorization.

31964131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642.

The product of its digits is 1944, while the sum is 28.

The square root of 31964131 is about 5653.6829589216. The cubic root of 31964131 is about 317.3615441940.

The spelling of 31964131 in words is "thirty-one million, nine hundred sixty-four thousand, one hundred thirty-one".