31464972 has 72 divisors (see below), whose sum is σ = 99171072. Its totient is φ = 8172000.

The previous prime is 31464967. The next prime is 31464973. The reversal of 31464972 is 27946413.

31464972 is a `hidden beast` number, since 3 + 1 + 4 + 649 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (31464973) 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, 2904 + ... + 8447.

It is an arithmetic number, because the mean of its divisors is an integer number (1377376).

Almost surely, 2^31464972 is an apocalyptic number.

It is an amenable number.

31464972 is an abundant number, since it is smaller than the sum of its proper divisors (67706100).

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

31464972 is a wasteful number, since it uses less digits than its factorization.

31464972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11379 (or 11374 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 31464972 is about 5609.3646699069. The cubic root of 31464972 is about 315.7008732667.

It can be divided in two parts, 314649 and 72, that added together give a square (314721 = 561²).

The spelling of 31464972 in words is "thirty-one million, four hundred sixty-four thousand, nine hundred seventy-two".