90013 has 12 divisors (see below), whose sum is σ = 114912. Its totient is φ = 69720.

The previous prime is 90011. The next prime is 90017. The reversal of 90013 is 31009.

It is a happy number.

It is not a de Polignac number, because 90013 - 2¹ = 90011 is a prime.

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 89975 and 90002.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456 + ... + 622.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2⁹⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

90013 is a deficient number, since it is larger than the sum of its proper divisors (24899).

90013 is a wasteful number, since it uses less digits than its factorization.

90013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 90013 is about 300.0216658843. The cubic root of 90013 is about 44.8162050751.

Subtracting from 90013 its sum of digits (13), we obtain a square (90000 = 300²).

The spelling of 90013 in words is "ninety thousand, thirteen".