31125 has 16 divisors (see below), whose sum is σ = 52416. Its totient is φ = 16400.

The previous prime is 31123. The next prime is 31139. The reversal of 31125 is 52113.

31125 is a nontrivial binomial coefficient, being equal to C(250, 2).

It is not a de Polignac number, because 31125 - 2¹ = 31123 is a prime.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 31125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2³¹¹²⁵ is an apocalyptic number.

31125 is the 249-th triangular number and also the 125-th hexagonal number.

It is an amenable number.

31125 is a deficient number, since it is larger than the sum of its proper divisors (21291).

31125 is an equidigital number, since it uses as much as digits as its factorization.

31125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 31125 is about 176.4227876438. The cubic root of 31125 is about 31.4559727578.

Subtracting from 31125 its sum of digits (12), we obtain a palindrome (31113).

Adding to 31125 its reverse (52113), we get a palindrome (83238).

It can be divided in two parts, 3 and 1125, that multiplied together give a cube (3375 = 15³).

The spelling of 31125 in words is "thirty-one thousand, one hundred twenty-five".