252987 has 12 divisors (see below), whose sum is σ = 392616. Its totient is φ = 144480.

The previous prime is 252983. The next prime is 253003. The reversal of 252987 is 789252.

It is not a de Polignac number, because 252987 - 2² = 252983 is a prime.

It is a d-powerful number, because it can be written as 2¹² + 5² + 9² + 2¹⁷ + 8² + 7⁶ .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252987.

It is not an unprimeable number, because it can be changed into a prime (252983) 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, 714 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (32718).

2²⁵²⁹⁸⁷ is an apocalyptic number.

252987 is a deficient number, since it is larger than the sum of its proper divisors (139629).

252987 is a wasteful number, since it uses less digits than its factorization.

252987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1731 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 252987 is about 502.9781307373. The cubic root of 252987 is about 63.2459521331.

The spelling of 252987 in words is "two hundred fifty-two thousand, nine hundred eighty-seven".