90015 has 16 divisors (see below), whose sum is σ = 152928. Its totient is φ = 45056.

The previous prime is 90011. The next prime is 90017. The reversal of 90015 is 51009.

It is a cyclic number.

It is not a de Polignac number, because 90015 - 2² = 90011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 89976 and 90003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (9558).

2⁹⁰⁰¹⁵ is an apocalyptic number.

90015 is a deficient number, since it is larger than the sum of its proper divisors (62913).

90015 is a wasteful number, since it uses less digits than its factorization.

90015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 90015 is about 300.0249989584. The cubic root of 90015 is about 44.8165369966.

Subtracting from 90015 its sum of digits (15), we obtain a square (90000 = 300²).

The spelling of 90015 in words is "ninety thousand, fifteen".