252137 has 4 divisors (see below), whose sum is σ = 255060. Its totient is φ = 249216.

The previous prime is 252101. The next prime is 252139. The reversal of 252137 is 731252.

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 72361 + 179776 = 269^2 + 424^2 .

It is a cyclic number.

It is not a de Polignac number, because 252137 - 2¹² = 248041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252139) 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, 1328 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (63765).

2²⁵²¹³⁷ is an apocalyptic number.

It is an amenable number.

252137 is a deficient number, since it is larger than the sum of its proper divisors (2923).

252137 is an equidigital number, since it uses as much as digits as its factorization.

252137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922.

The product of its digits is 420, while the sum is 20.

The square root of 252137 is about 502.1324526457. The cubic root of 252137 is about 63.1750402160.

Adding to 252137 its reverse (731252), we get a palindrome (983389).

The spelling of 252137 in words is "two hundred fifty-two thousand, one hundred thirty-seven".