253844 has 12 divisors (see below), whose sum is σ = 470484. Its totient is φ = 119424.

The previous prime is 253823. The next prime is 253853. The reversal of 253844 is 448352.

It can be written as a sum of positive squares in 2 ways, for example, as 169744 + 84100 = 412^2 + 290^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1799 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (39207).

2²⁵³⁸⁴⁴ is an apocalyptic number.

It is an amenable number.

253844 is a deficient number, since it is larger than the sum of its proper divisors (216640).

253844 is a wasteful number, since it uses less digits than its factorization.

253844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3752 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 253844 is about 503.8293361844. The cubic root of 253844 is about 63.3172874093.

It can be divided in two parts, 25 and 3844, that multiplied together give a square (96100 = 310²).

The spelling of 253844 in words is "two hundred fifty-three thousand, eight hundred forty-four".