68265 has 24 divisors (see below), whose sum is σ = 124488. Its totient is φ = 34560.

The previous prime is 68261. The next prime is 68279. The reversal of 68265 is 56286.

68265 is a nontrivial binomial coefficient, being equal to C(370, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 4761 + 63504 = 69^2 + 252^2 .

It is not a de Polignac number, because 68265 - 2² = 68261 is a prime.

It is a super-2 number, since 2×68265² = 9320220450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68261) 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 23 ways as a sum of consecutive naturals, for example, 1645 + ... + 1685.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2⁶⁸²⁶⁵ is an apocalyptic number.

68265 is the 369-th triangular number and also the 185-th hexagonal number.

It is an amenable number.

68265 is a deficient number, since it is larger than the sum of its proper divisors (56223).

68265 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (68264) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (89).

68265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 68265 is about 261.2757164376. The cubic root of 68265 is about 40.8695037920.

It can be divided in two parts, 682 and 65, that added together give a palindrome (747).

The spelling of 68265 in words is "sixty-eight thousand, two hundred sixty-five".