253275 has 24 divisors (see below), whose sum is σ = 458304. Its totient is φ = 122400.

The previous prime is 253273. The next prime is 253307. The reversal of 253275 is 572352.

It is not a de Polignac number, because 253275 - 2¹ = 253273 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253275.

It is not an unprimeable number, because it can be changed into a prime (253273) 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 23 ways as a sum of consecutive naturals, for example, 672 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (19096).

253275 is a Friedman number, since it can be written as 5*(37^(5-2)+2), using all its digits and the basic arithmetic operations.

2²⁵³²⁷⁵ is an apocalyptic number.

253275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253275 is a deficient number, since it is larger than the sum of its proper divisors (205029).

253275 is a wasteful number, since it uses less digits than its factorization.

253275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 326 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 253275 is about 503.2643440579. The cubic root of 253275 is about 63.2699427290.

It can be divided in two parts, 253 and 275, that added together give a triangular number (528 = T₃₂).

The spelling of 253275 in words is "two hundred fifty-three thousand, two hundred seventy-five".