253137 has 8 divisors (see below), whose sum is σ = 355360. Its totient is φ = 159840.

The previous prime is 253133. The next prime is 253153. The reversal of 253137 is 731352.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 253137 - 2² = 253133 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 5 + 1 + 3¹⁰ + 3¹¹ + 7⁵ .

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253137.

It is not an unprimeable number, because it can be changed into a prime (253133) 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 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (44420).

2²⁵³¹³⁷ is an apocalyptic number.

It is an amenable number.

253137 is a deficient number, since it is larger than the sum of its proper divisors (102223).

253137 is a wasteful number, since it uses less digits than its factorization.

253137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463.

The product of its digits is 630, while the sum is 21.

The square root of 253137 is about 503.1272204920. The cubic root of 253137 is about 63.2584495057.

Subtracting from 253137 its sum of digits (21), we obtain a triangular number (253116 = T₇₁₁).

Adding to 253137 its reverse (731352), we get a palindrome (984489).

The spelling of 253137 in words is "two hundred fifty-three thousand, one hundred thirty-seven".