253084 has 24 divisors (see below), whose sum is σ = 495488. Its totient is φ = 112320.

The previous prime is 253081. The next prime is 253103. The reversal of 253084 is 480352.

It is a super-2 number, since 2×253084² = 128103022112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1534 + ... + 1690.

2²⁵³⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

253084 is a deficient number, since it is larger than the sum of its proper divisors (242404).

253084 is a wasteful number, since it uses less digits than its factorization.

253084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 253084 is about 503.0745471598. The cubic root of 253084 is about 63.2540343316.

The spelling of 253084 in words is "two hundred fifty-three thousand, eighty-four".