677997 has 8 divisors (see below), whose sum is σ = 1004480. Its totient is φ = 451980.

The previous prime is 677983. The next prime is 678023. The reversal of 677997 is 799776.

677997 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 677997 - 2¹⁴ = 661613 is a prime.

It is a Duffinian number.

677997 is a lucky 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 7 ways as a sum of consecutive naturals, for example, 12529 + ... + 12582.

It is an arithmetic number, because the mean of its divisors is an integer number (125560).

2⁶⁷⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

677997 is a deficient number, since it is larger than the sum of its proper divisors (326483).

677997 is a wasteful number, since it uses less digits than its factorization.

677997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25120 (or 25114 counting only the distinct ones).

The product of its digits is 166698, while the sum is 45.

The square root of 677997 is about 823.4057323094. The cubic root of 677997 is about 87.8501668635.

The spelling of 677997 in words is "six hundred seventy-seven thousand, nine hundred ninety-seven".