31961904 has 160 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 8785920.

The previous prime is 31961879. The next prime is 31961929. The reversal of 31961904 is 40916913.

It is an interprime number because it is at equal distance from previous prime (31961879) and next prime (31961929).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243919 + ... + 244049.

Almost surely, 2^31961904 is an apocalyptic number.

31961904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31961904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

31961904 is an abundant number, since it is smaller than the sum of its proper divisors (67031760).

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

31961904 is a wasteful number, since it uses less digits than its factorization.

31961904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 31961904 is about 5653.4860042278. The cubic root of 31961904 is about 317.3541736347.

The spelling of 31961904 in words is "thirty-one million, nine hundred sixty-one thousand, nine hundred four".