67713 has 4 divisors (see below), whose sum is σ = 90288. Its totient is φ = 45140.

The previous prime is 67709. The next prime is 67723. The reversal of 67713 is 31776.

67713 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 67713 - 2² = 67709 is a prime.

It is a D-number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67723) 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, 11283 + ... + 11288.

It is an arithmetic number, because the mean of its divisors is an integer number (22572).

2⁶⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

67713 is a deficient number, since it is larger than the sum of its proper divisors (22575).

67713 is a wasteful number, since it uses less digits than its factorization.

67713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22574.

The product of its digits is 882, while the sum is 24.

The square root of 67713 is about 260.2172169554. The cubic root of 67713 is about 40.7590467575.

Subtracting from 67713 its reverse (31776), we obtain a cube (35937 = 33³).

It can be divided in two parts, 67 and 713, that added together give a triangular number (780 = T₃₉).

The spelling of 67713 in words is "sixty-seven thousand, seven hundred thirteen".