531971 has 8 divisors (see below), whose sum is σ = 586224. Its totient is φ = 478720.

The previous prime is 531919. The next prime is 531977. The reversal of 531971 is 179135.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 531971 - 2¹⁰ = 530947 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 531971.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (73278).

2⁵³¹⁹⁷¹ is an apocalyptic number.

531971 is a deficient number, since it is larger than the sum of its proper divisors (54253).

531971 is a wasteful number, since it uses less digits than its factorization.

531971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501.

The product of its digits is 945, while the sum is 26.

The square root of 531971 is about 729.3634210735. The cubic root of 531971 is about 81.0269178433.

Subtracting from 531971 its reverse (179135), we obtain a square (352836 = 594²).

The spelling of 531971 in words is "five hundred thirty-one thousand, nine hundred seventy-one".