253838 has 12 divisors (see below), whose sum is σ = 412848. Its totient is φ = 117000.

The previous prime is 253823. The next prime is 253853. The reversal of 253838 is 838352.

253838 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253823) and next prime (253853).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 253838.

It is a congruent number.

It is an unprimeable number.

253838 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (34404).

2²⁵³⁸³⁸ is an apocalyptic number.

253838 is a deficient number, since it is larger than the sum of its proper divisors (159010).

253838 is a wasteful number, since it uses less digits than its factorization.

253838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 253838 is about 503.8233817520. The cubic root of 253838 is about 63.3167885377.

The spelling of 253838 in words is "two hundred fifty-three thousand, eight hundred thirty-eight".