252709 has 2 divisors, whose sum is σ = 252710. Its totient is φ = 252708.

The previous prime is 252691. The next prime is 252713. The reversal of 252709 is 907252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199809 + 52900 = 447^2 + 230^2 .

It is a cyclic number.

It is not a de Polignac number, because 252709 - 2¹⁵ = 219941 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252779) 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, 126354 + 126355.

It is an arithmetic number, because the mean of its divisors is an integer number (126355).

2²⁵²⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

252709 is a deficient number, since it is larger than the sum of its proper divisors (1).

252709 is an equidigital number, since it uses as much as digits as its factorization.

252709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 252709 is about 502.7017008127. The cubic root of 252709 is about 63.2227772678. Note that the first 3 decimals are identical.

It can be divided in two parts, 252 and 709, that added together give a square (961 = 31²).

The spelling of 252709 in words is "two hundred fifty-two thousand, seven hundred nine".