253845 has 12 divisors (see below), whose sum is σ = 440076. Its totient is φ = 135360.

The previous prime is 253823. The next prime is 253853. The reversal of 253845 is 548352.

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 62001 = 438^2 + 249^2 .

It is not a de Polignac number, because 253845 - 2⁷ = 253717 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

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 253845.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 2776 + ... + 2865.

It is an arithmetic number, because the mean of its divisors is an integer number (36673).

2²⁵³⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

253845 is a deficient number, since it is larger than the sum of its proper divisors (186231).

253845 is a wasteful number, since it uses less digits than its factorization.

253845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5649 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 253845 is about 503.8303285829. The cubic root of 253845 is about 63.3173705538.

The spelling of 253845 in words is "two hundred fifty-three thousand, eight hundred forty-five".