252714 has 32 divisors (see below), whose sum is σ = 631296. Its totient is φ = 65520.

The previous prime is 252713. The next prime is 252727. The reversal of 252714 is 417252.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252713) 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 15 ways as a sum of consecutive naturals, for example, 189 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (19728).

2²⁵²⁷¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315648).

252714 is an abundant number, since it is smaller than the sum of its proper divisors (378582).

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

252714 is a wasteful number, since it uses less digits than its factorization.

252714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570.

The product of its digits is 560, while the sum is 21.

The square root of 252714 is about 502.7066739163. The cubic root of 252714 is about 63.2231942320.

Adding to 252714 its reverse (417252), we get a palindrome (669966).

The spelling of 252714 in words is "two hundred fifty-two thousand, seven hundred fourteen".