252306 has 24 divisors (see below), whose sum is σ = 555984. Its totient is φ = 82680.

The previous prime is 252293. The next prime is 252313. The reversal of 252306 is 603252.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1861 + ... + 1991.

It is an arithmetic number, because the mean of its divisors is an integer number (23166).

2²⁵²³⁰⁶ is an apocalyptic number.

252306 is an abundant number, since it is smaller than the sum of its proper divisors (303678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252306 is a wasteful number, since it uses less digits than its factorization.

252306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 252306 is about 502.3007067485. The cubic root of 252306 is about 63.1891518527.

Adding to 252306 its reverse (603252), we get a palindrome (855558).

The spelling of 252306 in words is "two hundred fifty-two thousand, three hundred six".