107667 has 12 divisors (see below), whose sum is σ = 177840. Its totient is φ = 61488.

The previous prime is 107647. The next prime is 107671. The reversal of 107667 is 766701.

107667 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 107667 - 2⁶ = 107603 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

107667 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 107667.

It is not an unprimeable number, because it can be changed into a prime (107647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2¹⁰⁷⁶⁶⁷ is an apocalyptic number.

107667 is a deficient number, since it is larger than the sum of its proper divisors (70173).

107667 is a wasteful number, since it uses less digits than its factorization.

107667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107667 is about 328.1264999966. The cubic root of 107667 is about 47.5730363025.

The spelling of 107667 in words is "one hundred seven thousand, six hundred sixty-seven".