90537 has 8 divisors (see below), whose sum is σ = 122304. Its totient is φ = 59568.

The previous prime is 90533. The next prime is 90547. The reversal of 90537 is 73509.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 90537 - 2² = 90533 is a prime.

90537 is a lucky number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (90533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2⁹⁰⁵³⁷ is an apocalyptic number.

It is an amenable number.

90537 is a deficient number, since it is larger than the sum of its proper divisors (31767).

90537 is a wasteful number, since it uses less digits than its factorization.

90537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399.

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

The square root of 90537 is about 300.8936689264. The cubic root of 90537 is about 44.9030009419.

The spelling of 90537 in words is "ninety thousand, five hundred thirty-seven".