67977 has 24 divisors (see below), whose sum is σ = 122304. Its totient is φ = 35424.

The previous prime is 67967. The next prime is 67979. The reversal of 67977 is 77976.

It is not a de Polignac number, because 67977 - 2⁴ = 67961 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67977.

It is not an unprimeable number, because it can be changed into a prime (67979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2⁶⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

67977 is a deficient number, since it is larger than the sum of its proper divisors (54327).

67977 is a wasteful number, since it uses less digits than its factorization.

67977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its digits is 18522, while the sum is 36.

The square root of 67977 is about 260.7239919915. The cubic root of 67977 is about 40.8119486342.

Subtracting from 67977 its product of digits (18522), we obtain a triangular number (49455 = T₃₁₄).

Subtracting 67977 from its reverse (77976), we obtain a palindrome (9999).

The spelling of 67977 in words is "sixty-seven thousand, nine hundred seventy-seven".