31485972 has 72 divisors (see below), whose sum is σ = 89260864. Its totient is φ = 8460288.

The previous prime is 31485959. The next prime is 31485973. The reversal of 31485972 is 27958413.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 31485972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31485973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23628 + ... + 24924.

Almost surely, 2^31485972 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 31485972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44630432).

31485972 is an abundant number, since it is smaller than the sum of its proper divisors (57774892).

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

31485972 is a wasteful number, since it uses less digits than its factorization.

31485972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1326 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 31485972 is about 5611.2362274280. The cubic root of 31485972 is about 315.7710914972.

The spelling of 31485972 in words is "thirty-one million, four hundred eighty-five thousand, nine hundred seventy-two".