52815 has 16 divisors (see below), whose sum is σ = 96768. Its totient is φ = 24096.

The previous prime is 52813. The next prime is 52817. The reversal of 52815 is 51825.

It is an interprime number because it is at equal distance from previous prime (52813) and next prime (52817).

It is not a de Polignac number, because 52815 - 2¹ = 52813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 52791 and 52800.

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 52815.

It is not an unprimeable number, because it can be changed into a prime (52813) 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, 147 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁵²⁸¹⁵ is an apocalyptic number.

52815 is a deficient number, since it is larger than the sum of its proper divisors (43953).

52815 is a wasteful number, since it uses less digits than its factorization.

52815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518.

The product of its digits is 400, while the sum is 21.

The square root of 52815 is about 229.8151431042. The cubic root of 52815 is about 37.5191013798.

Subtracting from 52815 its reverse (51825), we obtain a triangular number (990 = T₄₄).

The spelling of 52815 in words is "fifty-two thousand, eight hundred fifteen".