67767 has 12 divisors (see below), whose sum is σ = 105336. Its totient is φ = 38640.

The previous prime is 67763. The next prime is 67777. The reversal of 67767 is 76776.

It is a happy number.

It is not a de Polignac number, because 67767 - 2² = 67763 is a prime.

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 67767.

It is not an unprimeable number, because it can be changed into a prime (67763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

2⁶⁷⁷⁶⁷ is an apocalyptic number.

67767 is a deficient number, since it is larger than the sum of its proper divisors (37569).

67767 is a wasteful number, since it uses less digits than its factorization.

67767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

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

The square root of 67767 is about 260.3209557450. The cubic root of 67767 is about 40.7698787676.

Subtracting 67767 from its reverse (76776), we obtain a palindrome (9009).

The spelling of 67767 in words is "sixty-seven thousand, seven hundred sixty-seven".