117257 has 6 divisors (see below), whose sum is σ = 136458. Its totient is φ = 100464.

The previous prime is 117251. The next prime is 117259. The reversal of 117257 is 752711.

It is a happy number.

117257 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 67081 + 50176 = 259^2 + 224^2 .

It is not a de Polignac number, because 117257 - 2⁴ = 117241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1148 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (22743).

2¹¹⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

117257 is a deficient number, since it is larger than the sum of its proper divisors (19201).

117257 is an equidigital number, since it uses as much as digits as its factorization.

117257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2400 counting only the distinct ones).

The product of its digits is 490, while the sum is 23.

The square root of 117257 is about 342.4280946418. The cubic root of 117257 is about 48.9455176757.

Adding to 117257 its reverse (752711), we get a palindrome (869968).

The spelling of 117257 in words is "one hundred seventeen thousand, two hundred fifty-seven".