91874961 has 18 divisors (see below), whose sum is σ = 135890898. Its totient is φ = 59814720.

The previous prime is 91874933. The next prime is 91874971. The reversal of 91874961 is 16947819.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70308225 + 21566736 = 8385^2 + 4644^2 .

It is not a de Polignac number, because 91874961 - 2⁷ = 91874833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91874911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13881 + ... + 19401.

Almost surely, 2^91874961 is an apocalyptic number.

It is an amenable number.

91874961 is a deficient number, since it is larger than the sum of its proper divisors (44015937).

91874961 is a wasteful number, since it uses less digits than its factorization.

91874961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5567 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 91874961 is about 9585.1427219421. The cubic root of 91874961 is about 451.2311324386.

The spelling of 91874961 in words is "ninety-one million, eight hundred seventy-four thousand, nine hundred sixty-one".