253071 has 32 divisors (see below), whose sum is σ = 465920. Its totient is φ = 132192.

The previous prime is 253063. The next prime is 253081. The reversal of 253071 is 170352.

It is not a de Polignac number, because 253071 - 2³ = 253063 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

253071 is a lucky 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 253071.

It is not an unprimeable number, because it can be changed into a prime (253081) 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, 2406 + ... + 2508.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2²⁵³⁰⁷¹ is an apocalyptic number.

253071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

253071 is a deficient number, since it is larger than the sum of its proper divisors (212849).

253071 is a wasteful number, since it uses less digits than its factorization.

253071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 253071 is about 503.0616264435. The cubic root of 253071 is about 63.2529512702.

It can be divided in two parts, 2530 and 71, that added together give a square (2601 = 51²).

The spelling of 253071 in words is "two hundred fifty-three thousand, seventy-one".