31925 has 6 divisors (see below), whose sum is σ = 39618. Its totient is φ = 25520.

The previous prime is 31907. The next prime is 31957. The reversal of 31925 is 52913.

31925 = 23² + 24² + ... + 47².

It can be written as a sum of positive squares in 3 ways, for example, as 3364 + 28561 = 58^2 + 169^2 .

It is not a de Polignac number, because 31925 - 2¹⁴ = 15541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31897 and 31906.

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 31925.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 614 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (6603).

2³¹⁹²⁵ is an apocalyptic number.

It is an amenable number.

31925 is a deficient number, since it is larger than the sum of its proper divisors (7693).

31925 is a wasteful number, since it uses less digits than its factorization.

31925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1282 counting only the distinct ones).

The product of its digits is 270, while the sum is 20.

The square root of 31925 is about 178.6756838521. The cubic root of 31925 is about 31.7231984952.

It can be divided in two parts, 3 and 1925, that multiplied together give a palindrome (5775).

The spelling of 31925 in words is "thirty-one thousand, nine hundred twenty-five".