31525 has 12 divisors (see below), whose sum is σ = 42532. Its totient is φ = 23040.

The previous prime is 31517. The next prime is 31531. The reversal of 31525 is 52513.

It can be written as a sum of positive squares in 6 ways, for example, as 3969 + 27556 = 63^2 + 166^2 .

It is not a de Polignac number, because 31525 - 2³ = 31517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31499 and 31508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277 + ... + 373.

2³¹⁵²⁵ is an apocalyptic number.

It is an amenable number.

31525 is a deficient number, since it is larger than the sum of its proper divisors (11007).

31525 is a wasteful number, since it uses less digits than its factorization.

31525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 115 counting only the distinct ones).

The product of its digits is 150, while the sum is 16.

The square root of 31525 is about 177.5528090456. The cubic root of 31525 is about 31.5901507520.

Subtracting from 31525 its product of digits (150), we obtain a triangular number (31375 = T₂₅₀).

It can be divided in two parts, 315 and 25, that multiplied together give a triangular number (7875 = T₁₂₅).

The spelling of 31525 in words is "thirty-one thousand, five hundred twenty-five".