67677 has 8 divisors (see below), whose sum is σ = 95616. Its totient is φ = 42432.

The previous prime is 67651. The next prime is 67679. The reversal of 67677 is 77676.

It is a happy number.

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

It is not a de Polignac number, because 67677 - 2⁸ = 67421 is a prime.

It is an Ulam 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 67677.

It is not an unprimeable number, because it can be changed into a prime (67679) 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, 613 + ... + 714.

It is an arithmetic number, because the mean of its divisors is an integer number (11952).

2⁶⁷⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

67677 is a deficient number, since it is larger than the sum of its proper divisors (27939).

67677 is a wasteful number, since it uses less digits than its factorization.

67677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347.

The product of its digits is 12348, while the sum is 33.

The square root of 67677 is about 260.1480347802. The cubic root of 67677 is about 40.7518222177.

Subtracting 67677 from its reverse (77676), we obtain a palindrome (9999).

The spelling of 67677 in words is "sixty-seven thousand, six hundred seventy-seven".