31025 has 12 divisors (see below), whose sum is σ = 41292. Its totient is φ = 23040.

The previous prime is 31019. The next prime is 31033. The reversal of 31025 is 52013.

It can be written as a sum of positive squares in 6 ways, for example, as 49 + 30976 = 7^2 + 176^2 .

It is a de Polignac number, because none of the positive numbers 2^k-31025 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 30997 and 31015.

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 31025.

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, 389 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (3441).

2³¹⁰²⁵ is an apocalyptic number.

It is an amenable number.

31025 is a deficient number, since it is larger than the sum of its proper divisors (10267).

31025 is a wasteful number, since it uses less digits than its factorization.

31025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 31025 is about 176.1391495381. The cubic root of 31025 is about 31.4222488265.

Adding to 31025 its reverse (52013), we get a palindrome (83038).

It can be divided in two parts, 310 and 25, that multiplied together give a triangular number (7750 = T₁₂₄).

The spelling of 31025 in words is "thirty-one thousand, twenty-five".