67365 has 16 divisors (see below), whose sum is σ = 120000. Its totient is φ = 35856.

The previous prime is 67349. The next prime is 67369. The reversal of 67365 is 56376.

It is not a de Polignac number, because 67365 - 2⁴ = 67349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67369) 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 15 ways as a sum of consecutive naturals, for example, 115 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (7500).

2⁶⁷³⁶⁵ is an apocalyptic number.

It is an amenable number.

67365 is a deficient number, since it is larger than the sum of its proper divisors (52635).

67365 is a wasteful number, since it uses less digits than its factorization.

67365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

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

The square root of 67365 is about 259.5476834803. The cubic root of 67365 is about 40.6891019565.

The spelling of 67365 in words is "sixty-seven thousand, three hundred sixty-five".