91164961 has 2 divisors, whose sum is σ = 91164962. Its totient is φ = 91164960.

The previous prime is 91164947. The next prime is 91164979. The reversal of 91164961 is 16946119.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85211361 + 5953600 = 9231^2 + 2440^2 .

It is a cyclic number.

It is not a de Polignac number, because 91164961 - 2¹⁵ = 91132193 is a prime.

It is a super-2 number, since 2×91164961² = 16622100228263042, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 91164961.

It is not a weakly prime, because it can be changed into another prime (91164911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45582480 + 45582481.

It is an arithmetic number, because the mean of its divisors is an integer number (45582481).

Almost surely, 2^91164961 is an apocalyptic number.

It is an amenable number.

91164961 is a deficient number, since it is larger than the sum of its proper divisors (1).

91164961 is an equidigital number, since it uses as much as digits as its factorization.

91164961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 37.

The square root of 91164961 is about 9548.0344050490. The cubic root of 91164961 is about 450.0657698108.

The spelling of 91164961 in words is "ninety-one million, one hundred sixty-four thousand, nine hundred sixty-one".