252537 has 4 divisors (see below), whose sum is σ = 336720. Its totient is φ = 168356.

The previous prime is 252533. The next prime is 252541. The reversal of 252537 is 735252.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (252533) and next prime (252541).

It is a cyclic number.

It is not a de Polignac number, because 252537 - 2² = 252533 is a prime.

It is a D-number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252537.

It is not an unprimeable number, because it can be changed into a prime (252533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42087 + ... + 42092.

It is an arithmetic number, because the mean of its divisors is an integer number (84180).

2²⁵²⁵³⁷ is an apocalyptic number.

It is an amenable number.

252537 is a deficient number, since it is larger than the sum of its proper divisors (84183).

252537 is an equidigital number, since it uses as much as digits as its factorization.

252537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84182.

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

The square root of 252537 is about 502.5305960835. The cubic root of 252537 is about 63.2084303501.

Adding to 252537 its reverse (735252), we get a palindrome (987789).

The spelling of 252537 in words is "two hundred fifty-two thousand, five hundred thirty-seven".