117845 has 24 divisors (see below), whose sum is σ = 181944. Its totient is φ = 72576.

The previous prime is 117841. The next prime is 117851. The reversal of 117845 is 548711.

It can be written as a sum of positive squares in 4 ways, for example, as 14161 + 103684 = 119^2 + 322^2 .

It is not a de Polignac number, because 117845 - 2² = 117841 is a prime.

It is a super-4 number, since 4×117845⁴ (a number of 21 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3167 + ... + 3203.

It is an arithmetic number, because the mean of its divisors is an integer number (7581).

2¹¹⁷⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

117845 is a deficient number, since it is larger than the sum of its proper divisors (64099).

117845 is a wasteful number, since it uses less digits than its factorization.

117845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 62 counting only the distinct ones).

The product of its digits is 1120, while the sum is 26.

The square root of 117845 is about 343.2855953867. The cubic root of 117845 is about 49.0271957875.

The spelling of 117845 in words is "one hundred seventeen thousand, eight hundred forty-five".