67865 has 12 divisors (see below), whose sum is σ = 95076. Its totient is φ = 46368.

The previous prime is 67853. The next prime is 67867. The reversal of 67865 is 56876.

It can be written as a sum of positive squares in 2 ways, for example, as 17689 + 50176 = 133^2 + 224^2 .

It is not a de Polignac number, because 67865 - 2⁶ = 67801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (67867) 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, 107 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (7923).

2⁶⁷⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

67865 is a deficient number, since it is larger than the sum of its proper divisors (27211).

67865 is a wasteful number, since it uses less digits than its factorization.

67865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

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

The square root of 67865 is about 260.5091169230. The cubic root of 67865 is about 40.7895221717.

It can be divided in two parts, 6786 and 5, that multiplied together give a triangular number (33930 = T₂₆₀).

The spelling of 67865 in words is "sixty-seven thousand, eight hundred sixty-five".