90137 has 4 divisors (see below), whose sum is σ = 94080. Its totient is φ = 86196.

The previous prime is 90127. The next prime is 90149. The reversal of 90137 is 73109.

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, and also an emirpimes, since its reverse is a distinct semiprime: 73109 = 29 ⋅2521.

It is a cyclic number.

It is not a de Polignac number, because 90137 - 2⁴ = 90121 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90137.

It is not an unprimeable number, because it can be changed into a prime (90107) 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, 1937 + ... + 1982.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁹⁰¹³⁷ is an apocalyptic number.

It is an amenable number.

90137 is a deficient number, since it is larger than the sum of its proper divisors (3943).

90137 is a wasteful number, since it uses less digits than its factorization.

90137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 90137 is about 300.2282465059. The cubic root of 90137 is about 44.8367749170.

The spelling of 90137 in words is "ninety thousand, one hundred thirty-seven".