91604041 has 9 divisors (see below), whose sum is σ = 97482631. Its totient is φ = 86062432.

The previous prime is 91604021. The next prime is 91604047. The reversal of 91604041 is 14040619.

The square root of 91604041 is 9571.

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., 71318025 + 20286016 = 8445^2 + 4504^2 .

It is not a de Polignac number, because 91604041 - 2⁹ = 91603529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 91603997 and 91604015.

It is not an unprimeable number, because it can be changed into a prime (91604047) 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 8 ways as a sum of consecutive naturals, for example, 162426 + ... + 162988.

Almost surely, 2^91604041 is an apocalyptic number.

91604041 is the 9571-st square number.

91604041 is the 4786-th centered octagonal number.

It is an amenable number.

91604041 is a deficient number, since it is larger than the sum of its proper divisors (5878590).

91604041 is an frugal number, since it uses more digits than its factorization.

91604041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 91604041 is about 450.7871670930.

Multiplying 91604041 by its sum of digits (25), we get a square (2290101025 = 47855²).

The spelling of 91604041 in words is "ninety-one million, six hundred four thousand, forty-one".