631972 has 24 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 280800.

The previous prime is 631937. The next prime is 631979. The reversal of 631972 is 279136.

It is a self number, because there is not a number n which added to its sum of digits gives 631972.

It is not an unprimeable number, because it can be changed into a prime (631979) by changing a digit.

631972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2197 + ... + 2467.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

2⁶³¹⁹⁷² is an apocalyptic number.

It is an amenable number.

631972 is a deficient number, since it is larger than the sum of its proper divisors (601820).

631972 is a wasteful number, since it uses less digits than its factorization.

631972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 631972 is about 794.9666659678. The cubic root of 631972 is about 85.8155411850.

Subtracting from 631972 its reverse (279136), we obtain a square (352836 = 594²).

The spelling of 631972 in words is "six hundred thirty-one thousand, nine hundred seventy-two".