56205 has 12 divisors (see below), whose sum is σ = 97500. Its totient is φ = 29952.

The previous prime is 56197. The next prime is 56207. The reversal of 56205 is 50265.

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 34596 = 147^2 + 186^2 .

It is not a de Polignac number, because 56205 - 2³ = 56197 is a prime.

It is an Ulam number.

56205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56207) 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, 580 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (8125).

2⁵⁶²⁰⁵ is an apocalyptic number.

It is an amenable number.

56205 is a deficient number, since it is larger than the sum of its proper divisors (41295).

56205 is a wasteful number, since it uses less digits than its factorization.

56205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 56205 is about 237.0759372016. The cubic root of 56205 is about 38.3052514347.

It can be divided in two parts, 5620 and 5, that added together give a square (5625 = 75²).

The spelling of 56205 in words is "fifty-six thousand, two hundred five".