253098 has 32 divisors (see below), whose sum is σ = 580800. Its totient is φ = 81648.

The previous prime is 253081. The next prime is 253103. The reversal of 253098 is 890352.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253098.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2268 + ... + 2376.

It is an arithmetic number, because the mean of its divisors is an integer number (18150).

253098 is a Friedman number, since it can be written as 503^2+89, using all its digits and the basic arithmetic operations.

2²⁵³⁰⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290400).

253098 is an abundant number, since it is smaller than the sum of its proper divisors (327702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253098 is a wasteful number, since it uses less digits than its factorization.

253098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 253098 is about 503.0884614061. The cubic root of 253098 is about 63.2552006639.

It can be divided in two parts, 2530 and 98, that added together give a triangular number (2628 = T₇₂).

The spelling of 253098 in words is "two hundred fifty-three thousand, ninety-eight".