89815 has 16 divisors (see below), whose sum is σ = 124416. Its totient is φ = 61600.

The previous prime is 89809. The next prime is 89819. The reversal of 89815 is 51898.

It is not a de Polignac number, because 89815 - 2⁵ = 89783 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230 + ... + 1300.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

2⁸⁹⁸¹⁵ is an apocalyptic number.

89815 is a deficient number, since it is larger than the sum of its proper divisors (34601).

89815 is a wasteful number, since it uses less digits than its factorization.

89815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

The product of its digits is 2880, while the sum is 31.

The square root of 89815 is about 299.6915080545. The cubic root of 89815 is about 44.7833204809.

The spelling of 89815 in words is "eighty-nine thousand, eight hundred fifteen".