253597 has 4 divisors (see below), whose sum is σ = 254656. Its totient is φ = 252540.

The previous prime is 253573. The next prime is 253601. The reversal of 253597 is 795352.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 253597 - 2⁷ = 253469 is a prime.

It is a super-4 number, since 4×253597⁴ (a number of 23 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

253597 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253507) 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, 22 + ... + 712.

It is an arithmetic number, because the mean of its divisors is an integer number (63664).

2²⁵³⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

253597 is a deficient number, since it is larger than the sum of its proper divisors (1059).

253597 is an equidigital number, since it uses as much as digits as its factorization.

253597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058.

The product of its digits is 9450, while the sum is 31.

The square root of 253597 is about 503.5841538412. The cubic root of 253597 is about 63.2967440240.

The spelling of 253597 in words is "two hundred fifty-three thousand, five hundred ninety-seven".