252409 has 2 divisors, whose sum is σ = 252410. Its totient is φ = 252408.

The previous prime is 252401. The next prime is 252419. The reversal of 252409 is 904252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162409 + 90000 = 403^2 + 300^2 .

It is a cyclic number.

It is not a de Polignac number, because 252409 - 2³ = 252401 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252409.

It is not a weakly prime, because it can be changed into another prime (252401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126204 + 126205.

It is an arithmetic number, because the mean of its divisors is an integer number (126205).

2²⁵²⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

252409 is a deficient number, since it is larger than the sum of its proper divisors (1).

252409 is an equidigital number, since it uses as much as digits as its factorization.

252409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 252409 is about 502.4032245119. The cubic root of 252409 is about 63.1977493457.

The spelling of 252409 in words is "two hundred fifty-two thousand, four hundred nine".