90157 has 4 divisors (see below), whose sum is σ = 91260. Its totient is φ = 89056.

The previous prime is 90149. The next prime is 90163. The reversal of 90157 is 75109.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5476 + 84681 = 74^2 + 291^2 .

It is a cyclic number.

It is not a de Polignac number, because 90157 - 2³ = 90149 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90107) 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, 418 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2⁹⁰¹⁵⁷ is an apocalyptic number.

It is an amenable number.

90157 is a deficient number, since it is larger than the sum of its proper divisors (1103).

90157 is a wasteful number, since it uses less digits than its factorization.

90157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 90157 is about 300.2615526504. The cubic root of 90157 is about 44.8400908664.

The spelling of 90157 in words is "ninety thousand, one hundred fifty-seven".