253092 has 48 divisors (see below), whose sum is σ = 709632. Its totient is φ = 68640.

The previous prime is 253081. The next prime is 253103. The reversal of 253092 is 290352.

It is an interprime number because it is at equal distance from previous prime (253081) and next prime (253103).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 253092.

It is an unprimeable number.

253092 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1867 + ... + 1997.

It is an arithmetic number, because the mean of its divisors is an integer number (14784).

2²⁵³⁰⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354816).

253092 is an abundant number, since it is smaller than the sum of its proper divisors (456540).

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

253092 is a wasteful number, since it uses less digits than its factorization.

253092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 253092 is about 503.0824982048. The cubic root of 253092 is about 63.2547008124.

The spelling of 253092 in words is "two hundred fifty-three thousand, ninety-two".