677007 has 6 divisors (see below), whose sum is σ = 977912. Its totient is φ = 451332.

The previous prime is 676993. The next prime is 677011. The reversal of 677007 is 700776.

677007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 677007 - 2⁶ = 676943 is a prime.

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 677007.

It is not an unprimeable number, because it can be changed into a prime (677057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37603 + ... + 37620.

2⁶⁷⁷⁰⁰⁷ is an apocalyptic number.

677007 is a deficient number, since it is larger than the sum of its proper divisors (300905).

677007 is a wasteful number, since it uses less digits than its factorization.

677007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75229 (or 75226 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 677007 is about 822.8043509851. The cubic root of 677007 is about 87.8073869145.

The spelling of 677007 in words is "six hundred seventy-seven thousand, seven".