252735 has 32 divisors (see below), whose sum is σ = 483840. Its totient is φ = 110208.

The previous prime is 252731. The next prime is 252737. The reversal of 252735 is 537252.

It is not a de Polignac number, because 252735 - 2² = 252731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3004 + ... + 3086.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁵²⁷³⁵ is an apocalyptic number.

252735 is a deficient number, since it is larger than the sum of its proper divisors (231105).

252735 is a wasteful number, since it uses less digits than its factorization.

252735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127.

The product of its digits is 2100, while the sum is 24.

The square root of 252735 is about 502.7275604142. The cubic root of 252735 is about 63.2249454215.

Adding to 252735 its reverse (537252), we get a palindrome (789987).

The spelling of 252735 in words is "two hundred fifty-two thousand, seven hundred thirty-five".