90757 has 4 divisors (see below), whose sum is σ = 92736. Its totient is φ = 88780.

The previous prime is 90749. The next prime is 90787. The reversal of 90757 is 75709.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 90757 - 2³ = 90749 is a prime.

It is a Duffinian number.

90757 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 919 + ... + 1012.

It is an arithmetic number, because the mean of its divisors is an integer number (23184).

2⁹⁰⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

90757 is a deficient number, since it is larger than the sum of its proper divisors (1979).

90757 is a wasteful number, since it uses less digits than its factorization.

90757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 90757 is about 301.2590247611. The cubic root of 90757 is about 44.9393421411.

The spelling of 90757 in words is "ninety thousand, seven hundred fifty-seven".