57205 has 8 divisors (see below), whose sum is σ = 72792. Its totient is φ = 43008.

The previous prime is 57203. The next prime is 57221. The reversal of 57205 is 50275.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7921 + 49284 = 89^2 + 222^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(57205) divides (57205-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 57205 - 2¹ = 57203 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (9099).

2⁵⁷²⁰⁵ is an apocalyptic number.

It is an amenable number.

57205 is a deficient number, since it is larger than the sum of its proper divisors (15587).

57205 is a wasteful number, since it uses less digits than its factorization.

57205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695.

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 57205 is about 239.1756676587. The cubic root of 57205 is about 38.5310931144.

It can be divided in two parts, 57 and 205, that added together give a palindrome (262).

The spelling of 57205 in words is "fifty-seven thousand, two hundred five".