252637 has 16 divisors (see below), whose sum is σ = 335232. Its totient is φ = 184320.

The previous prime is 252617. The next prime is 252641. The reversal of 252637 is 736252.

It is a cyclic number.

It is not a de Polignac number, because 252637 - 2⁷ = 252509 is a prime.

It is a d-powerful number, because it can be written as 2⁹ + 5⁵ + 6² + 2¹⁷ + 3⁵ + 7⁶ .

It is a Duffinian number.

252637 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213 + ... + 1405.

It is an arithmetic number, because the mean of its divisors is an integer number (20952).

2²⁵²⁶³⁷ is an apocalyptic number.

It is an amenable number.

252637 is a deficient number, since it is larger than the sum of its proper divisors (82595).

252637 is a wasteful number, since it uses less digits than its factorization.

252637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its digits is 2520, while the sum is 25.

The square root of 252637 is about 502.6300826652. The cubic root of 252637 is about 63.2167723738.

Adding to 252637 its reverse (736252), we get a palindrome (988889).

It can be divided in two parts, 25 and 2637, that added together give a palindrome (2662).

The spelling of 252637 in words is "two hundred fifty-two thousand, six hundred thirty-seven".