67647 has 4 divisors (see below), whose sum is σ = 90200. Its totient is φ = 45096.

The previous prime is 67631. The next prime is 67651. The reversal of 67647 is 74676.

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

It is not a de Polignac number, because 67647 - 2⁴ = 67631 is a prime.

It is a super-2 number, since 2×67647² = 9152233218, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67647.

It is not an unprimeable number, because it can be changed into a prime (67607) 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, 11272 + ... + 11277.

It is an arithmetic number, because the mean of its divisors is an integer number (22550).

2⁶⁷⁶⁴⁷ is an apocalyptic number.

67647 is a deficient number, since it is larger than the sum of its proper divisors (22553).

67647 is a wasteful number, since it uses less digits than its factorization.

67647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22552.

The product of its digits is 7056, while the sum is 30.

The square root of 67647 is about 260.0903689105. The cubic root of 67647 is about 40.7457998105.

The spelling of 67647 in words is "sixty-seven thousand, six hundred forty-seven".