91680625 has 15 divisors (see below), whose sum is σ = 114864013. Its totient is φ = 73153000.

The previous prime is 91680613. The next prime is 91680653. The reversal of 91680625 is 52608619.

The square root of 91680625 is 9575.

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 7187761 + 84492864 = 2681^2 + 9192^2 .

It is not a de Polignac number, because 91680625 - 2¹⁷ = 91549553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 239184 + ... + 239566.

Almost surely, 2^91680625 is an apocalyptic number.

91680625 is the 9575-th square number.

91680625 is the 4788-th centered octagonal number.

It is an amenable number.

91680625 is a deficient number, since it is larger than the sum of its proper divisors (23183388).

91680625 is an frugal number, since it uses more digits than its factorization.

91680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The cubic root of 91680625 is about 450.9127564145.

The spelling of 91680625 in words is "ninety-one million, six hundred eighty thousand, six hundred twenty-five".