253998 has 24 divisors (see below), whose sum is σ = 559728. Its totient is φ = 83232.

The previous prime is 253993. The next prime is 253999. The reversal of 253998 is 899352.

253998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2¹⁴ + 5⁴ + 9³ + 3¹¹ + 9⁵ + 8² .

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1786 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (23322).

2²⁵³⁹⁹⁸ is an apocalyptic number.

253998 is an abundant number, since it is smaller than the sum of its proper divisors (305730).

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

253998 is a wasteful number, since it uses less digits than its factorization.

253998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 245 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 253998 is about 503.9821425408. The cubic root of 253998 is about 63.3300890921.

The spelling of 253998 in words is "two hundred fifty-three thousand, nine hundred ninety-eight".