117567 has 6 divisors (see below), whose sum is σ = 169832. Its totient is φ = 78372.

The previous prime is 117563. The next prime is 117571. The reversal of 117567 is 765711.

It is an interprime number because it is at equal distance from previous prime (117563) and next prime (117571).

It is not a de Polignac number, because 117567 - 2² = 117563 is a prime.

It is a Duffinian number.

117567 is a lucky number.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 117567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6523 + ... + 6540.

117567 is a Friedman number, since it can be written as 7^6-11*7-5, using all its digits and the basic arithmetic operations.

2¹¹⁷⁵⁶⁷ is an apocalyptic number.

117567 is a deficient number, since it is larger than the sum of its proper divisors (52265).

117567 is a wasteful number, since it uses less digits than its factorization.

117567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13069 (or 13066 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 117567 is about 342.8804456367. The cubic root of 117567 is about 48.9886132086.

The spelling of 117567 in words is "one hundred seventeen thousand, five hundred sixty-seven".