253583 has 4 divisors (see below), whose sum is σ = 276648. Its totient is φ = 230520.

The previous prime is 253573. The next prime is 253601. The reversal of 253583 is 385352.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 253583 - 2⁴ = 253567 is a prime.

It is a Duffinian 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 253583.

It is not an unprimeable number, because it can be changed into a prime (253543) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 11516 + ... + 11537.

It is an arithmetic number, because the mean of its divisors is an integer number (69162).

2²⁵³⁵⁸³ is an apocalyptic number.

253583 is a deficient number, since it is larger than the sum of its proper divisors (23065).

253583 is a wasteful number, since it uses less digits than its factorization.

253583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23064.

The product of its digits is 3600, while the sum is 26.

The square root of 253583 is about 503.5702532914. The cubic root of 253583 is about 63.2955792222.

Subtracting 253583 from its reverse (385352), we obtain a square (131769 = 363²).

The spelling of 253583 in words is "two hundred fifty-three thousand, five hundred eighty-three".