252617 has 2 divisors, whose sum is σ = 252618. Its totient is φ = 252616.

The previous prime is 252611. The next prime is 252641. The reversal of 252617 is 716252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163216 + 89401 = 404^2 + 299^2 .

It is a cyclic number.

It is not a de Polignac number, because 252617 - 2¹⁶ = 187081 is a prime.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 252592 and 252601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252617.

It is not a weakly prime, because it can be changed into another prime (252611) 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 as a sum of consecutive naturals, namely, 126308 + 126309.

It is an arithmetic number, because the mean of its divisors is an integer number (126309).

2²⁵²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

252617 is a deficient number, since it is larger than the sum of its proper divisors (1).

252617 is an equidigital number, since it uses as much as digits as its factorization.

252617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 23.

The square root of 252617 is about 502.6101869242. The cubic root of 252617 is about 63.2151041451.

Adding to 252617 its reverse (716252), we get a palindrome (968869).

The spelling of 252617 in words is "two hundred fifty-two thousand, six hundred seventeen".