253982 has 12 divisors (see below), whose sum is σ = 397176. Its totient is φ = 121800.

The previous prime is 253969. The next prime is 253987. The reversal of 253982 is 289352.

253982 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 253982.

It is not an unprimeable number, because it can be changed into a prime (253987) by changing a digit.

253982 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 5 ways as a sum of consecutive naturals, for example, 1607 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (33098).

2²⁵³⁹⁸² is an apocalyptic number.

253982 is a deficient number, since it is larger than the sum of its proper divisors (143194).

253982 is a wasteful number, since it uses less digits than its factorization.

253982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 182 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 253982 is about 503.9662687125. The cubic root of 253982 is about 63.3287592880.

The spelling of 253982 in words is "two hundred fifty-three thousand, nine hundred eighty-two".