253935 has 48 divisors (see below), whose sum is σ = 524160. Its totient is φ = 116640.

The previous prime is 253919. The next prime is 253937. The reversal of 253935 is 539352.

253935 is nontrivially palindromic in base 2 and base 8.

It is not a de Polignac number, because 253935 - 2⁴ = 253919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4050) is a multiple of the sum of its prime factors (50).

It is a junction number, because it is equal to n+sod(n) for n = 253899 and 253908.

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 253935.

It is not an unprimeable number, because it can be changed into a prime (253937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13356 + ... + 13374.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2²⁵³⁹³⁵ is an apocalyptic number.

253935 is an abundant number, since it is smaller than the sum of its proper divisors (270225).

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

253935 is a wasteful number, since it uses less digits than its factorization.

253935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 38 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 253935 is about 503.9196364501. The cubic root of 253935 is about 63.3248526656.

The spelling of 253935 in words is "two hundred fifty-three thousand, nine hundred thirty-five".