115767 has 12 divisors (see below), whose sum is σ = 176280. Its totient is φ = 73008.

The previous prime is 115763. The next prime is 115769. The reversal of 115767 is 767511.

It is not a de Polignac number, because 115767 - 2² = 115763 is a prime.

It is an Ulam number.

115767 is a lucky number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 115767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115763) 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, 168 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (14690).

2¹¹⁵⁷⁶⁷ is an apocalyptic number.

115767 is a deficient number, since it is larger than the sum of its proper divisors (60513).

115767 is a wasteful number, since it uses less digits than its factorization.

115767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 699 counting only the distinct ones).

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

The square root of 115767 is about 340.2454996029. The cubic root of 115767 is about 48.7373142534.

It can be divided in two parts, 11 and 5767, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 115767 in words is "one hundred fifteen thousand, seven hundred sixty-seven".