116667 has 16 divisors (see below), whose sum is σ = 180000. Its totient is φ = 74592.

The previous prime is 116663. The next prime is 116681. The reversal of 116667 is 766611.

It is not a de Polignac number, because 116667 - 2² = 116663 is a prime.

It is a super-2 number, since 2×116667² = 27222377778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 116667.

It is not an unprimeable number, because it can be changed into a prime (116663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2¹¹⁶⁶⁶⁷ is an apocalyptic number.

116667 is a deficient number, since it is larger than the sum of its proper divisors (63333).

116667 is a wasteful number, since it uses less digits than its factorization.

116667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 116667 is about 341.5655134817. The cubic root of 116667 is about 48.8632868323.

It can be divided in two parts, 11 and 6667, that multiplied together give a palindrome (73337).

The spelling of 116667 in words is "one hundred sixteen thousand, six hundred sixty-seven".