31971472 has 80 divisors (see below), whose sum is σ = 71745408. Its totient is φ = 13685760.

The previous prime is 31971461. The next prime is 31971479. The reversal of 31971472 is 27417913.

It is not an unprimeable number, because it can be changed into a prime (31971479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196063 + ... + 196225.

Almost surely, 2^31971472 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 31971472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35872704).

31971472 is an abundant number, since it is smaller than the sum of its proper divisors (39773936).

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

31971472 is a wasteful number, since it uses less digits than its factorization.

31971472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its digits is 10584, while the sum is 34.

The square root of 31971472 is about 5654.3321444712. The cubic root of 31971472 is about 317.3858378078.

The spelling of 31971472 in words is "thirty-one million, nine hundred seventy-one thousand, four hundred seventy-two".