252205 has 4 divisors (see below), whose sum is σ = 302652. Its totient is φ = 201760.

The previous prime is 252193. The next prime is 252209. The reversal of 252205 is 502252.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 90601 = 402^2 + 301^2 .

It is not a de Polignac number, because 252205 - 2⁵ = 252173 is a prime.

It is a Duffinian number.

252205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252209) 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 3 ways as a sum of consecutive naturals, for example, 25216 + ... + 25225.

It is an arithmetic number, because the mean of its divisors is an integer number (75663).

2²⁵²²⁰⁵ is an apocalyptic number.

It is an amenable number.

252205 is a deficient number, since it is larger than the sum of its proper divisors (50447).

252205 is an equidigital number, since it uses as much as digits as its factorization.

252205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50446.

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 252205 is about 502.2001592991. The cubic root of 252205 is about 63.1807190289.

Adding to 252205 its product of nonzero digits (200), we get a triangular number (252405 = T₇₁₀).

Adding to 252205 its reverse (502252), we get a palindrome (754457).

Subtracting 252205 from its reverse (502252), we obtain a cube (250047 = 63³).

The spelling of 252205 in words is "two hundred fifty-two thousand, two hundred five".