76365 has 12 divisors (see below), whose sum is σ = 132444. Its totient is φ = 40704.

The previous prime is 76343. The next prime is 76367. The reversal of 76365 is 56367.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 21609 = 234^2 + 147^2 .

It is not a de Polignac number, because 76365 - 2⁵ = 76333 is a prime.

It is a super-2 number, since 2×76365² = 11663226450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76367) 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, 804 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (11037).

2⁷⁶³⁶⁵ is an apocalyptic number.

It is an amenable number.

76365 is a deficient number, since it is larger than the sum of its proper divisors (56079).

76365 is a wasteful number, since it uses less digits than its factorization.

76365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1705 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 76365 is about 276.3421791909. The cubic root of 76365 is about 42.4259379089.

It can be divided in two parts, 763 and 65, that added together give a palindrome (828).

The spelling of 76365 in words is "seventy-six thousand, three hundred sixty-five".