117512 has 16 divisors (see below), whose sum is σ = 226860. Its totient is φ = 57024.

The previous prime is 117511. The next prime is 117517. The reversal of 117512 is 215711.

117512 = 24² + 25² + ... + 71².

117512 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 106276 + 11236 = 326^2 + 106^2 .

It is not an unprimeable number, because it can be changed into a prime (117511) 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 3 ways as a sum of consecutive naturals, for example, 98 + ... + 494.

2¹¹⁷⁵¹² is an apocalyptic number.

It is an amenable number.

117512 is a deficient number, since it is larger than the sum of its proper divisors (109348).

117512 is a wasteful number, since it uses less digits than its factorization.

117512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its digits is 70, while the sum is 17.

The square root of 117512 is about 342.8002333721. The cubic root of 117512 is about 48.9809727596.

The spelling of 117512 in words is "one hundred seventeen thousand, five hundred twelve".