31245 has 8 divisors (see below), whose sum is σ = 50016. Its totient is φ = 16656.

The previous prime is 31237. The next prime is 31247. The reversal of 31245 is 54213.

31245 = T₇₄ + T₇₅ + ... + T₈₃.

31245 is nontrivially palindromic in base 14.

31245 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 31245 - 2³ = 31237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 2083 = 31245 / (3 + 1 + 2 + 4 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (6252).

2³¹²⁴⁵ is an apocalyptic number.

It is an amenable number.

31245 is a deficient number, since it is larger than the sum of its proper divisors (18771).

31245 is a wasteful number, since it uses less digits than its factorization.

31245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091.

The product of its digits is 120, while the sum is 15.

The square root of 31245 is about 176.7625525953. The cubic root of 31245 is about 31.4963462630.

Subtracting from 31245 its product of digits (120), we obtain a triangular number (31125 = T₂₄₉).

Adding to 31245 its reverse (54213), we get a palindrome (85458).

It can be divided in two parts, 31 and 245, that added together give a triangular number (276 = T₂₃).

The spelling of 31245 in words is "thirty-one thousand, two hundred forty-five".