253605 has 32 divisors (see below), whose sum is σ = 466560. Its totient is φ = 116480.

The previous prime is 253601. The next prime is 253607. The reversal of 253605 is 506352.

It is not a de Polignac number, because 253605 - 2² = 253601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4759 + ... + 4811.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2²⁵³⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

253605 is a deficient number, since it is larger than the sum of its proper divisors (212955).

253605 is a wasteful number, since it uses less digits than its factorization.

253605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 253605 is about 503.5920968403. The cubic root of 253605 is about 63.2974096058.

Adding to 253605 its reverse (506352), we get a palindrome (759957).

It can be divided in two parts, 253 and 605, that added together give a palindrome (858).

The spelling of 253605 in words is "two hundred fifty-three thousand, six hundred five".