531765 has 40 divisors (see below), whose sum is σ = 1036728. Its totient is φ = 259200.

The previous prime is 531731. The next prime is 531793. The reversal of 531765 is 567135.

It can be written as a sum of positive squares in 4 ways, for example, as 88209 + 443556 = 297^2 + 666^2 .

It is not a de Polignac number, because 531765 - 2⁶ = 531701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 531765.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5215 + ... + 5315.

2⁵³¹⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

531765 is a deficient number, since it is larger than the sum of its proper divisors (504963).

531765 is a wasteful number, since it uses less digits than its factorization.

531765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 531765 is about 729.2221883624. Note that the first 3 decimals coincide. The cubic root of 531765 is about 81.0164575613.

It can be divided in two parts, 531 and 765, that added together give a 4-th power (1296 = 6⁴).

The spelling of 531765 in words is "five hundred thirty-one thousand, seven hundred sixty-five".