677967 has 4 divisors (see below), whose sum is σ = 903960. Its totient is φ = 451976.

The previous prime is 677959. The next prime is 677983. The reversal of 677967 is 769776.

677967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 677967 - 2³ = 677959 is a prime.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677927) 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, 112992 + ... + 112997.

It is an arithmetic number, because the mean of its divisors is an integer number (225990).

2⁶⁷⁷⁹⁶⁷ is an apocalyptic number.

677967 is a deficient number, since it is larger than the sum of its proper divisors (225993).

677967 is a wasteful number, since it uses less digits than its factorization.

677967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225992.

The product of its digits is 111132, while the sum is 42.

The square root of 677967 is about 823.3875150863. The cubic root of 677967 is about 87.8488711134.

Subtracting 677967 from its reverse (769776), we obtain a square (91809 = 303²).

The spelling of 677967 in words is "six hundred seventy-seven thousand, nine hundred sixty-seven".