91506753 has 48 divisors (see below), whose sum is σ = 149822400. Its totient is φ = 55473984.

The previous prime is 91506739. The next prime is 91506757. The reversal of 91506753 is 35760519.

It is a happy number.

It is not a de Polignac number, because 91506753 - 2⁶ = 91506689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91506757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262023 + ... + 262371.

It is an arithmetic number, because the mean of its divisors is an integer number (3121300).

Almost surely, 2^91506753 is an apocalyptic number.

It is an amenable number.

91506753 is a deficient number, since it is larger than the sum of its proper divisors (58315647).

91506753 is a wasteful number, since it uses less digits than its factorization.

91506753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 91506753 is about 9565.9162133065. The cubic root of 91506753 is about 450.6275245110.

The spelling of 91506753 in words is "ninety-one million, five hundred six thousand, seven hundred fifty-three".