115764 has 24 divisors (see below), whose sum is σ = 295008. Its totient is φ = 35040.

The previous prime is 115763. The next prime is 115769. The reversal of 115764 is 467511.

It is a plaindrome in base 15.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (12292).

2¹¹⁵⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

115764 is an abundant number, since it is smaller than the sum of its proper divisors (179244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115764 is a wasteful number, since it uses less digits than its factorization.

115764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 115764 is about 340.2410909928. The cubic root of 115764 is about 48.7368932549.

It can be divided in two parts, 1157 and 64, that added together give a palindrome (1221).

The spelling of 115764 in words is "one hundred fifteen thousand, seven hundred sixty-four".