90357 has 4 divisors (see below), whose sum is σ = 120480. Its totient is φ = 60236.

The previous prime is 90353. The next prime is 90359. The reversal of 90357 is 75309.

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 90357 - 2² = 90353 is a prime.

It is a D-number.

90357 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90357.

It is not an unprimeable number, because it can be changed into a prime (90353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15057 + ... + 15062.

It is an arithmetic number, because the mean of its divisors is an integer number (30120).

2⁹⁰³⁵⁷ is an apocalyptic number.

It is an amenable number.

90357 is a deficient number, since it is larger than the sum of its proper divisors (30123).

90357 is a wasteful number, since it uses less digits than its factorization.

90357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30122.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 90357 is about 300.5944111257. The cubic root of 90357 is about 44.8732234201.

The spelling of 90357 in words is "ninety thousand, three hundred fifty-seven".