91757241 has 27 divisors (see below), whose sum is σ = 138294117. Its totient is φ = 58623480.

The previous prime is 91757233. The next prime is 91757249. The reversal of 91757241 is 14275719.

It is a happy number.

The square root of 91757241 is 9579.

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

It is an interprime number because it is at equal distance from previous prime (91757233) and next prime (91757249).

It is not a de Polignac number, because 91757241 - 2³ = 91757233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 91757196 and 91757205.

It is not an unprimeable number, because it can be changed into a prime (91757249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 890796 + ... + 890898.

Almost surely, 2^91757241 is an apocalyptic number.

91757241 is the 9579-th square number.

91757241 is the 4790-th centered octagonal number.

It is an amenable number.

91757241 is a deficient number, since it is larger than the sum of its proper divisors (46536876).

91757241 is a wasteful number, since it uses less digits than its factorization.

91757241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The cubic root of 91757241 is about 451.0383282487.

Multiplying 91757241 by its sum of digits (36), we get a square (3303260676 = 57474²).

The spelling of 91757241 in words is "ninety-one million, seven hundred fifty-seven thousand, two hundred forty-one".