91011627 has 32 divisors (see below), whose sum is σ = 154626560. Its totient is φ = 51827040.

The previous prime is 91011623. The next prime is 91011631. The reversal of 91011627 is 72611019.

It is an interprime number because it is at equal distance from previous prime (91011623) and next prime (91011631).

It is not a de Polignac number, because 91011627 - 2² = 91011623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91011627.

It is not an unprimeable number, because it can be changed into a prime (91011623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69852 + ... + 71142.

It is an arithmetic number, because the mean of its divisors is an integer number (4832080).

Almost surely, 2^91011627 is an apocalyptic number.

91011627 is a deficient number, since it is larger than the sum of its proper divisors (63614933).

91011627 is a wasteful number, since it uses less digits than its factorization.

91011627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 91011627 is about 9540.0014150942. The cubic root of 91011627 is about 449.8133003290.

Subtracting from 91011627 its sum of digits (27), we obtain a square (91011600 = 9540²).

The spelling of 91011627 in words is "ninety-one million, eleven thousand, six hundred twenty-seven".