253287 has 20 divisors (see below), whose sum is σ = 392040. Its totient is φ = 162864.

The previous prime is 253273. The next prime is 253307. The reversal of 253287 is 782352.

It is not a de Polignac number, because 253287 - 2⁷ = 253159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2¹³ + 5⁷ + 2¹⁷ + 3⁶ + 8⁵ + 7⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 253287.

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 253287.

It is not an unprimeable number, because it can be changed into a prime (253247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4264 + ... + 4322.

It is an arithmetic number, because the mean of its divisors is an integer number (19602).

2²⁵³²⁸⁷ is an apocalyptic number.

253287 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

253287 is a deficient number, since it is larger than the sum of its proper divisors (138753).

253287 is an equidigital number, since it uses as much as digits as its factorization.

253287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 253287 is about 503.2762660806. The cubic root of 253287 is about 63.2709419424.

The spelling of 253287 in words is "two hundred fifty-three thousand, two hundred eighty-seven".