531936 has 36 divisors (see below), whose sum is σ = 1513512. Its totient is φ = 177216.

The previous prime is 531919. The next prime is 531977. The reversal of 531936 is 639135.

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

It is a congruent number.

It is an unprimeable number.

531936 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 5 ways as a sum of consecutive naturals, for example, 636 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (42042).

531936 is a Friedman number, since it can be written as 33*15+9^6, using all its digits and the basic arithmetic operations.

2⁵³¹⁹³⁶ is an apocalyptic number.

It is an amenable number.

531936 is an abundant number, since it is smaller than the sum of its proper divisors (981576).

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

531936 is a wasteful number, since it uses less digits than its factorization.

531936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1852 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 531936 is about 729.3394271531. The cubic root of 531936 is about 81.0251408014.

The spelling of 531936 in words is "five hundred thirty-one thousand, nine hundred thirty-six".