253992 has 32 divisors (see below), whose sum is σ = 669600. Its totient is φ = 80064.

The previous prime is 253987. The next prime is 253993. The reversal of 253992 is 299352.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253992.

It is not an unprimeable number, because it can be changed into a prime (253993) by changing a digit.

253992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (20925).

2²⁵³⁹⁹² 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 253992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

253992 is an abundant number, since it is smaller than the sum of its proper divisors (415608).

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

253992 is a wasteful number, since it uses less digits than its factorization.

253992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 253992 is about 503.9761899138. The cubic root of 253992 is about 63.3295904221.

Adding to 253992 its product of digits (4860), we get a palindrome (258852).

The spelling of 253992 in words is "two hundred fifty-three thousand, nine hundred ninety-two".