68765 has 8 divisors (see below), whose sum is σ = 87480. Its totient is φ = 51712.

The previous prime is 68749. The next prime is 68767. The reversal of 68765 is 56786.

It can be written as a sum of positive squares in 4 ways, for example, as 27556 + 41209 = 166^2 + 203^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 68765 - 2⁴ = 68749 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68765.

It is not an unprimeable number, because it can be changed into a prime (68767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (10935).

2⁶⁸⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

68765 is a deficient number, since it is larger than the sum of its proper divisors (18715).

68765 is a wasteful number, since it uses less digits than its factorization.

68765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831.

The product of its digits is 10080, while the sum is 32.

The square root of 68765 is about 262.2308143602. The cubic root of 68765 is about 40.9690426635.

Subtracting from 68765 its product of digits (10080), we obtain a palindrome (58685).

The spelling of 68765 in words is "sixty-eight thousand, seven hundred sixty-five".