31968045 has 48 divisors (see below), whose sum is σ = 58810752. Its totient is φ = 16030080.

The previous prime is 31968043. The next prime is 31968067. The reversal of 31968045 is 54086913.

It is not a de Polignac number, because 31968045 - 2¹ = 31968043 is a prime.

It is a super-3 number, since 3×31968045³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31968043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69115 + ... + 69575.

It is an arithmetic number, because the mean of its divisors is an integer number (1225224).

Almost surely, 2^31968045 is an apocalyptic number.

It is an amenable number.

31968045 is a deficient number, since it is larger than the sum of its proper divisors (26842707).

31968045 is a wasteful number, since it uses less digits than its factorization.

31968045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 31968045 is about 5654.0290943716. The cubic root of 31968045 is about 317.3744972797.

The spelling of 31968045 in words is "thirty-one million, nine hundred sixty-eight thousand, forty-five".