91577 has 2 divisors, whose sum is σ = 91578. Its totient is φ = 91576.

The previous prime is 91573. The next prime is 91583. The reversal of 91577 is 77519.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 32041 = 244^2 + 179^2 .

It is a cyclic number.

It is not a de Polignac number, because 91577 - 2² = 91573 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (91571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45788 + 45789.

It is an arithmetic number, because the mean of its divisors is an integer number (45789).

2⁹¹⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

91577 is a deficient number, since it is larger than the sum of its proper divisors (1).

91577 is an equidigital number, since it uses as much as digits as its factorization.

91577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2205, while the sum is 29.

The square root of 91577 is about 302.6169195534. The cubic root of 91577 is about 45.0742806112.

The spelling of 91577 in words is "ninety-one thousand, five hundred seventy-seven".