45815 has 24 divisors (see below), whose sum is σ = 73872. Its totient is φ = 26880.

The previous prime is 45779. The next prime is 45817. The reversal of 45815 is 51854.

It is not a de Polignac number, because 45815 - 2⁶ = 45751 is a prime.

It is a Duffinian number.

Its product of digits (800) is a multiple of the sum of its prime divisors (40).

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 45815.

It is not an unprimeable number, because it can be changed into a prime (45817) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2687 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (3078).

2⁴⁵⁸¹⁵ is an apocalyptic number.

45815 is a deficient number, since it is larger than the sum of its proper divisors (28057).

45815 is a wasteful number, since it uses less digits than its factorization.

45815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 40 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 45815 is about 214.0443879199. The cubic root of 45815 is about 35.7823805602.

The spelling of 45815 in words is "forty-five thousand, eight hundred fifteen".