67985 has 4 divisors (see below), whose sum is σ = 81588. Its totient is φ = 54384.

The previous prime is 67979. The next prime is 67987. The reversal of 67985 is 58976.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 14161 + 53824 = 119^2 + 232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67985 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6794 + ... + 6803.

It is an arithmetic number, because the mean of its divisors is an integer number (20397).

2⁶⁷⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

67985 is a deficient number, since it is larger than the sum of its proper divisors (13603).

67985 is a wasteful number, since it uses less digits than its factorization.

67985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13602.

The product of its digits is 15120, while the sum is 35.

The square root of 67985 is about 260.7393334348. The cubic root of 67985 is about 40.8135495815.

Subtracting from 67985 its reverse (58976), we obtain a palindrome (9009).

The spelling of 67985 in words is "sixty-seven thousand, nine hundred eighty-five".