252927 has 12 divisors (see below), whose sum is σ = 369720. Its totient is φ = 166608.

The previous prime is 252919. The next prime is 252937. The reversal of 252927 is 729252.

It is a happy number.

It is not a de Polignac number, because 252927 - 2³ = 252919 is a prime.

It is a d-powerful number, because it can be written as 2² + 5² + 9² + 2¹² + 2¹⁷ + 7⁶ .

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

252927 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 252927.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252927.

It is not an unprimeable number, because it can be changed into a prime (252937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1324 + ... + 1502.

It is an arithmetic number, because the mean of its divisors is an integer number (30810).

2²⁵²⁹²⁷ is an apocalyptic number.

252927 is a deficient number, since it is larger than the sum of its proper divisors (116793).

252927 is a wasteful number, since it uses less digits than its factorization.

252927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

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

The square root of 252927 is about 502.9184824601. The cubic root of 252927 is about 63.2409518008.

It can be divided in two parts, 2529 and 27, that added together give a triangular number (2556 = T₇₁).

The spelling of 252927 in words is "two hundred fifty-two thousand, nine hundred twenty-seven".