677605 has 8 divisors (see below), whose sum is σ = 828792. Its totient is φ = 531648.

The previous prime is 677587. The next prime is 677627. The reversal of 677605 is 506776.

It can be written as a sum of positive squares in 4 ways, for example, as 103041 + 574564 = 321^2 + 758^2 .

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 677605 - 2¹³ = 669413 is a prime.

It is a super-3 number, since 3×677605³ = 933364031259660375, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014 + ... + 1543.

It is an arithmetic number, because the mean of its divisors is an integer number (103599).

2⁶⁷⁷⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

677605 is a deficient number, since it is larger than the sum of its proper divisors (151187).

677605 is a wasteful number, since it uses less digits than its factorization.

677605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 677605 is about 823.1676621442. The cubic root of 677605 is about 87.8332327155.

The spelling of 677605 in words is "six hundred seventy-seven thousand, six hundred five".