31192225 has 9 divisors (see below), whose sum is σ = 38713017. Its totient is φ = 24931440.

The previous prime is 31192219. The next prime is 31192237. The reversal of 31192225 is 52229113.

It is a happy number.

The square root of 31192225 is 5585.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13417569 + 17774656 = 3663^2 + 4216^2 .

It is not a de Polignac number, because 31192225 - 2¹³ = 31184033 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 31192225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27367 + ... + 28483.

Almost surely, 2^31192225 is an apocalyptic number.

31192225 is the 5585-th square number.

31192225 is the 2793-rd centered octagonal number.

It is an amenable number.

31192225 is a deficient number, since it is larger than the sum of its proper divisors (7520792).

31192225 is an frugal number, since it uses more digits than its factorization.

31192225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 1122 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The cubic root of 31192225 is about 314.7860308896.

Multiplying 31192225 by its sum of digits (25), we get a square (779805625 = 27925²).

31192225 divided by its sum of digits (25) gives a square (1247689 = 1117²).

The spelling of 31192225 in words is "thirty-one million, one hundred ninety-two thousand, two hundred twenty-five".