252705 has 16 divisors (see below), whose sum is σ = 428544. Its totient is φ = 126720.

The previous prime is 252691. The next prime is 252709. The reversal of 252705 is 507252.

It is not a de Polignac number, because 252705 - 2⁶ = 252641 is a prime.

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

It is a Curzon number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (252709) 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, 241 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2²⁵²⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

252705 is a deficient number, since it is larger than the sum of its proper divisors (175839).

252705 is a wasteful number, since it uses less digits than its factorization.

252705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 252705 is about 502.6977222944. The cubic root of 252705 is about 63.2224436925. Note that the first 3 decimals are identical.

Adding to 252705 its reverse (507252), we get a palindrome (759957).

The spelling of 252705 in words is "two hundred fifty-two thousand, seven hundred five".