252117 has 12 divisors (see below), whose sum is σ = 368940. Its totient is φ = 165888.

The previous prime is 252101. The next prime is 252139. The reversal of 252117 is 711252.

252117 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 221841 + 30276 = 471^2 + 174^2 .

It is not a de Polignac number, because 252117 - 2⁴ = 252101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252117.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252117.

It is not an unprimeable number, because it can be changed into a prime (252157) 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 11 ways as a sum of consecutive naturals, for example, 853 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (30745).

2²⁵²¹¹⁷ is an apocalyptic number.

It is an amenable number.

252117 is a deficient number, since it is larger than the sum of its proper divisors (116823).

252117 is a wasteful number, since it uses less digits than its factorization.

252117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 369 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 252117 is about 502.1125371866. The cubic root of 252117 is about 63.1733697825.

Adding to 252117 its reverse (711252), we get a palindrome (963369).

It can be divided in two parts, 25 and 2117, that multiplied together give a palindrome (52925).

The spelling of 252117 in words is "two hundred fifty-two thousand, one hundred seventeen".