91795561 has 27 divisors (see below), whose sum is σ = 110912823. Its totient is φ = 75881520.

The previous prime is 91795547. The next prime is 91795573. The reversal of 91795561 is 16559719.

The square root of 91795561 is 9581.

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

It can be written as a sum of positive squares in only one way, i.e., 13579225 + 78216336 = 3685^2 + 8844^2 .

It is not a de Polignac number, because 91795561 - 2⁹ = 91795049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91795661) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1370050 + ... + 1370116.

Almost surely, 2^91795561 is an apocalyptic number.

91795561 is the 9581-st square number.

91795561 is the 4791-st centered octagonal number.

It is an amenable number.

91795561 is a deficient number, since it is larger than the sum of its proper divisors (19117262).

91795561 is a wasteful number, since it uses less digits than its factorization.

91795561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its digits is 85050, while the sum is 43.

The cubic root of 91795561 is about 451.1011076111.

The spelling of 91795561 in words is "ninety-one million, seven hundred ninety-five thousand, five hundred sixty-one".