117667 has 8 divisors (see below), whose sum is σ = 135360. Its totient is φ = 101160.

The previous prime is 117659. The next prime is 117671. The reversal of 117667 is 766711.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 117667 - 2³ = 117659 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 490.

It is an arithmetic number, because the mean of its divisors is an integer number (16920).

117667 is a Friedman number, since it can be written as 17+7^6+1^6, using all its digits and the basic arithmetic operations.

2¹¹⁷⁶⁶⁷ is an apocalyptic number.

117667 is a deficient number, since it is larger than the sum of its proper divisors (17693).

117667 is a wasteful number, since it uses less digits than its factorization.

117667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593.

The product of its digits is 1764, while the sum is 28.

The square root of 117667 is about 343.0262380635. The cubic root of 117667 is about 49.0024988313.

It can be divided in two parts, 117 and 667, that added together give a square (784 = 28²).

The spelling of 117667 in words is "one hundred seventeen thousand, six hundred sixty-seven".