52185 has 24 divisors (see below), whose sum is σ = 98496. Its totient is φ = 23520.

The previous prime is 52183. The next prime is 52189. The reversal of 52185 is 58125.

It is not a de Polignac number, because 52185 - 2¹ = 52183 is a prime.

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

It is an alternating number because its digits alternate between odd and even.

52185 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (52181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700 + ... + 770.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

2⁵²¹⁸⁵ is an apocalyptic number.

It is an amenable number.

52185 is a deficient number, since it is larger than the sum of its proper divisors (46311).

52185 is a wasteful number, since it uses less digits than its factorization.

52185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

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

The square root of 52185 is about 228.4403642091. The cubic root of 52185 is about 37.3693229335.

52185 divided by its sum of digits (21) gives a triangular number (2485 = T₇₀).

It can be divided in two parts, 521 and 85, that added together give a palindrome (606).

The spelling of 52185 in words is "fifty-two thousand, one hundred eighty-five".