677609 has 4 divisors (see below), whose sum is σ = 684420. Its totient is φ = 670800.

The previous prime is 677587. The next prime is 677627. The reversal of 677609 is 906776.

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

It can be written as a sum of positive squares in 2 ways, for example, as 570025 + 107584 = 755^2 + 328^2 .

It is a cyclic number.

It is not a de Polignac number, because 677609 - 2¹² = 673513 is a prime.

It is a super-3 number, since 3×677609³ = 933380560704532587, which contains 333 as substring.

It is a d-powerful number, because it can be written as 6⁷ + 7 + 6⁷ + 7⁶ + 0 + 9² .

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (677639) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3254 + ... + 3455.

It is an arithmetic number, because the mean of its divisors is an integer number (171105).

2⁶⁷⁷⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

677609 is a deficient number, since it is larger than the sum of its proper divisors (6811).

677609 is a wasteful number, since it uses less digits than its factorization.

677609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810.

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 677609 is about 823.1700917793. The cubic root of 677609 is about 87.8334055460.

The spelling of 677609 in words is "six hundred seventy-seven thousand, six hundred nine".