531972 has 36 divisors (see below), whose sum is σ = 1537536. Its totient is φ = 151920.

The previous prime is 531919. The next prime is 531977. The reversal of 531972 is 279135.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (531977) by changing a digit.

531972 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 11 ways as a sum of consecutive naturals, for example, 804 + ... + 1307.

2⁵³¹⁹⁷² is an apocalyptic number.

It is an amenable number.

531972 is an abundant number, since it is smaller than the sum of its proper divisors (1005564).

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

531972 is a wasteful number, since it uses less digits than its factorization.

531972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2123 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 531972 is about 729.3641066025. The cubic root of 531972 is about 81.0269686148.

It can be divided in two parts, 53 and 1972, that added together give a square (2025 = 45²).

The spelling of 531972 in words is "five hundred thirty-one thousand, nine hundred seventy-two".