253017 has 8 divisors (see below), whose sum is σ = 374880. Its totient is φ = 168660.

The previous prime is 253013. The next prime is 253049. The reversal of 253017 is 710352.

It is not a de Polignac number, because 253017 - 2² = 253013 is a prime.

253017 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253017.

It is not an unprimeable number, because it can be changed into a prime (253013) 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, 4659 + ... + 4712.

It is an arithmetic number, because the mean of its divisors is an integer number (46860).

253017 is a Friedman number, since it can be written as 503^2+7+1, using all its digits and the basic arithmetic operations.

2²⁵³⁰¹⁷ is an apocalyptic number.

253017 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

253017 is a deficient number, since it is larger than the sum of its proper divisors (121863).

253017 is an equidigital number, since it uses as much as digits as its factorization.

253017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380 (or 9374 counting only the distinct ones).

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

The square root of 253017 is about 503.0079522234. The cubic root of 253017 is about 63.2484520027.

Adding to 253017 its reverse (710352), we get a palindrome (963369).

The spelling of 253017 in words is "two hundred fifty-three thousand, seventeen".