252729 has 6 divisors (see below), whose sum is σ = 365066. Its totient is φ = 168480.

The previous prime is 252727. The next prime is 252731. The reversal of 252729 is 927252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252727) and next prime (252731).

It can be written as a sum of positive squares in only one way, i.e., 189225 + 63504 = 435^2 + 252^2 .

It is not a de Polignac number, because 252729 - 2¹ = 252727 is a prime.

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 not an unprimeable number, because it can be changed into a prime (252727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14032 + ... + 14049.

2²⁵²⁷²⁹ is an apocalyptic number.

It is an amenable number.

252729 is a deficient number, since it is larger than the sum of its proper divisors (112337).

252729 is a wasteful number, since it uses less digits than its factorization.

252729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28087 (or 28084 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 252729 is about 502.7215929319. The cubic root of 252729 is about 63.2244450916.

It can be divided in two parts, 25272 and 9, that added together give a square (25281 = 159²).

The spelling of 252729 in words is "two hundred fifty-two thousand, seven hundred twenty-nine".