67665 has 16 divisors (see below), whose sum is σ = 116928. Its totient is φ = 33216.

The previous prime is 67651. The next prime is 67679. The reversal of 67665 is 56676.

It is an interprime number because it is at equal distance from previous prime (67651) and next prime (67679).

It is not a de Polignac number, because 67665 - 2⁶ = 67601 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (7308).

2⁶⁷⁶⁶⁵ is an apocalyptic number.

67665 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67665 is a deficient number, since it is larger than the sum of its proper divisors (49263).

67665 is a wasteful number, since it uses less digits than its factorization.

67665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368.

The product of its digits is 7560, while the sum is 30.

The square root of 67665 is about 260.1249699664. The cubic root of 67665 is about 40.7494134684.

It can be divided in two parts, 676 and 65, that added together give a triangular number (741 = T₃₈).

The spelling of 67665 in words is "sixty-seven thousand, six hundred sixty-five".