253585 has 8 divisors (see below), whose sum is σ = 311976. Its totient is φ = 197760.

The previous prime is 253573. The next prime is 253601. The reversal of 253585 is 585352.

253585 = T₃₄ + T₃₅ + ... + T₁₁₅.

It can be written as a sum of positive squares in 4 ways, for example, as 7569 + 246016 = 87^2 + 496^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 253585 - 2⁵ = 253553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 414 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (38997).

2²⁵³⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

253585 is a deficient number, since it is larger than the sum of its proper divisors (58391).

253585 is a wasteful number, since it uses less digits than its factorization.

253585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283.

The product of its digits is 6000, while the sum is 28.

The square root of 253585 is about 503.5722391078. The cubic root of 253585 is about 63.2957456251.

It can be divided in two parts, 253 and 585, that added together give a palindrome (838).

The spelling of 253585 in words is "two hundred fifty-three thousand, five hundred eighty-five".