677567 has 8 divisors (see below), whose sum is σ = 763392. Its totient is φ = 595800.

The previous prime is 677563. The next prime is 677587. The reversal of 677567 is 765776.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 677567 - 2² = 677563 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 677567.

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 677567.

It is not an unprimeable number, because it can be changed into a prime (677561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (95424).

2⁶⁷⁷⁵⁶⁷ is an apocalyptic number.

677567 is a deficient number, since it is larger than the sum of its proper divisors (85825).

677567 is a wasteful number, since it uses less digits than its factorization.

677567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029.

The product of its digits is 61740, while the sum is 38.

The square root of 677567 is about 823.1445802531. The cubic root of 677567 is about 87.8315907928.

Subtracting 677567 from its reverse (765776), we obtain a square (88209 = 297²).

The spelling of 677567 in words is "six hundred seventy-seven thousand, five hundred sixty-seven".