252817 has 2 divisors, whose sum is σ = 252818. Its totient is φ = 252816.

The previous prime is 252779. The next prime is 252823. The reversal of 252817 is 718252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221841 + 30976 = 471^2 + 176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252791 and 252800.

It is not a weakly prime, because it can be changed into another prime (252827) 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, 126408 + 126409.

It is an arithmetic number, because the mean of its divisors is an integer number (126409).

2²⁵²⁸¹⁷ is an apocalyptic number.

It is an amenable number.

252817 is a deficient number, since it is larger than the sum of its proper divisors (1).

252817 is an equidigital number, since it uses as much as digits as its factorization.

252817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120, while the sum is 25.

The square root of 252817 is about 502.8091089071. The cubic root of 252817 is about 63.2317824708.

The spelling of 252817 in words is "two hundred fifty-two thousand, eight hundred seventeen".