67705 has 8 divisors (see below), whose sum is σ = 88704. Its totient is φ = 49200.

The previous prime is 67699. The next prime is 67709. The reversal of 67705 is 50776.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 67705 - 2⁷ = 67577 is a prime.

It is a plaindrome in base 9.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 67705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67709) 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 7 ways as a sum of consecutive naturals, for example, 561 + ... + 670.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2⁶⁷⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

67705 is a deficient number, since it is larger than the sum of its proper divisors (20999).

67705 is a wasteful number, since it uses less digits than its factorization.

67705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 67705 is about 260.2018447283. The cubic root of 67705 is about 40.7574415256.

The spelling of 67705 in words is "sixty-seven thousand, seven hundred five".