531900 has 72 divisors (see below), whose sum is σ = 1718640. Its totient is φ = 141120.

The previous prime is 531877. The next prime is 531901. The reversal of 531900 is 9135.

531900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×531900² = 565835220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531900.

It is not an unprimeable number, because it can be changed into a prime (531901) 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, 2602 + ... + 2798.

It is an arithmetic number, because the mean of its divisors is an integer number (23870).

2⁵³¹⁹⁰⁰ is an apocalyptic number.

531900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859320).

531900 is an abundant number, since it is smaller than the sum of its proper divisors (1186740).

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

531900 is a wasteful number, since it uses less digits than its factorization.

531900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 531900 is about 729.3147468686. The cubic root of 531900 is about 81.0233129055.

It can be divided in two parts, 531 and 900, that added together give a triangular number (1431 = T₅₃).

The spelling of 531900 in words is "five hundred thirty-one thousand, nine hundred".