117967 has 6 divisors (see below), whose sum is σ = 123872. Its totient is φ = 112332.

The previous prime is 117959. The next prime is 117973. The reversal of 117967 is 769711.

It is not a de Polignac number, because 117967 - 2³ = 117959 is a prime.

It is a Duffinian number.

117967 is a lucky number.

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117917) 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 5 ways as a sum of consecutive naturals, for example, 418 + ... + 640.

2¹¹⁷⁹⁶⁷ is an apocalyptic number.

117967 is a deficient number, since it is larger than the sum of its proper divisors (5905).

117967 is an equidigital number, since it uses as much as digits as its factorization.

117967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its digits is 2646, while the sum is 31.

The square root of 117967 is about 343.4632440306. The cubic root of 117967 is about 49.0441085542.

The spelling of 117967 in words is "one hundred seventeen thousand, nine hundred sixty-seven".