253905 has 8 divisors (see below), whose sum is σ = 406272. Its totient is φ = 135408.

The previous prime is 253901. The next prime is 253907. The reversal of 253905 is 509352.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 253905 - 2² = 253901 is a prime.

253905 is a lucky number.

It is a nialpdrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253905.

It is not an unprimeable number, because it can be changed into a prime (253901) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8449 + ... + 8478.

It is an arithmetic number, because the mean of its divisors is an integer number (50784).

2²⁵³⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

253905 is a deficient number, since it is larger than the sum of its proper divisors (152367).

253905 is a wasteful number, since it uses less digits than its factorization.

253905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 253905 is about 503.8898689198. The cubic root of 253905 is about 63.3223588248.

Adding to 253905 its product of nonzero digits (1350), we get a triangular number (255255 = T₇₁₄).

The spelling of 253905 in words is "two hundred fifty-three thousand, nine hundred five".