252309 has 8 divisors (see below), whose sum is σ = 347392. Its totient is φ = 162720.

The previous prime is 252293. The next prime is 252313. The reversal of 252309 is 903252.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 252309 - 2⁴ = 252293 is a prime.

It is an Ulam number.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252319) 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 7 ways as a sum of consecutive naturals, for example, 1264 + ... + 1449.

It is an arithmetic number, because the mean of its divisors is an integer number (43424).

2²⁵²³⁰⁹ is an apocalyptic number.

It is an amenable number.

252309 is a deficient number, since it is larger than the sum of its proper divisors (95083).

252309 is a wasteful number, since it uses less digits than its factorization.

252309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 252309 is about 502.3036929986. The cubic root of 252309 is about 63.1894022982.

It can be divided in two parts, 252 and 309, that added together give a triangular number (561 = T₃₃).

The spelling of 252309 in words is "two hundred fifty-two thousand, three hundred nine".