31080625 has 15 divisors (see below), whose sum is σ = 39013293. Its totient is φ = 24753000.

The previous prime is 31080619. The next prime is 31080671. The reversal of 31080625 is 52608013.

It is a happy number.

The square root of 31080625 is 5575.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2436721 + 28643904 = 1561^2 + 5352^2 .

It is not a de Polignac number, because 31080625 - 2³ = 31080617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31080625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 139264 + ... + 139486.

Almost surely, 2^31080625 is an apocalyptic number.

31080625 is the 5575-th square number.

31080625 is the 2788-th centered octagonal number.

It is an amenable number.

31080625 is a deficient number, since it is larger than the sum of its proper divisors (7932668).

31080625 is an frugal number, since it uses more digits than its factorization.

31080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 31080625 is about 314.4101669163.

Multiplying 31080625 by its sum of digits (25), we get a square (777015625 = 27875²).

31080625 divided by its sum of digits (25) gives a square (1243225 = 1115²).

Adding to 31080625 its reverse (52608013), we get a palindrome (83688638).

The spelling of 31080625 in words is "thirty-one million, eighty thousand, six hundred twenty-five".