117180625 has 15 divisors (see below), whose sum is σ = 146767863. Its totient is φ = 93528000.

The previous prime is 117180611. The next prime is 117180631. The reversal of 117180625 is 526081711.

The square root of 117180625 is 10825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 116791249 + 389376 = 10807^2 + 624^2 .

It is not a de Polignac number, because 117180625 - 2²³ = 108792017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 270409 + ... + 270841.

Almost surely, 2^117180625 is an apocalyptic number.

117180625 is the 10825-th square number.

117180625 is the 5413-rd centered octagonal number.

It is an amenable number.

117180625 is a deficient number, since it is larger than the sum of its proper divisors (29587238).

117180625 is an frugal number, since it uses more digits than its factorization.

117180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The cubic root of 117180625 is about 489.3488852825.

It can be divided in two parts, 1171 and 80625, that added together give a square (81796 = 286²).

The spelling of 117180625 in words is "one hundred seventeen million, one hundred eighty thousand, six hundred twenty-five".