90815 has 8 divisors (see below), whose sum is σ = 111888. Its totient is φ = 70720.

The previous prime is 90803. The next prime is 90821. The reversal of 90815 is 51809.

90815 = T₄₅ + T₄₆ + ... + T₈₅.

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

It is not a de Polignac number, because 90815 - 2¹² = 86719 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

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 90815.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (13986).

2⁹⁰⁸¹⁵ is an apocalyptic number.

90815 is a deficient number, since it is larger than the sum of its proper divisors (21073).

90815 is a wasteful number, since it uses less digits than its factorization.

90815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 90815 is about 301.3552720627. The cubic root of 90815 is about 44.9489132185.

The spelling of 90815 in words is "ninety thousand, eight hundred fifteen".