253791 has 12 divisors (see below), whose sum is σ = 370968. Its totient is φ = 167184.

The previous prime is 253789. The next prime is 253801. The reversal of 253791 is 197352.

It is not a de Polignac number, because 253791 - 2¹ = 253789 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (253741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1381 + ... + 1553.

It is an arithmetic number, because the mean of its divisors is an integer number (30914).

2²⁵³⁷⁹¹ is an apocalyptic number.

253791 is a deficient number, since it is larger than the sum of its proper divisors (117177).

253791 is a wasteful number, since it uses less digits than its factorization.

253791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 253791 is about 503.7767362632. The cubic root of 253791 is about 63.3128804378.

It can be divided in two parts, 2537 and 91, that added together give a triangular number (2628 = T₇₂).

The spelling of 253791 in words is "two hundred fifty-three thousand, seven hundred ninety-one".