677369 has 16 divisors (see below), whose sum is σ = 890880. Its totient is φ = 498960.

The previous prime is 677357. The next prime is 677371. The reversal of 677369 is 963776.

677369 = 67² + 68² + ... + 132².

It is not a de Polignac number, because 677369 - 2⁸ = 677113 is a prime.

It is a super-2 number, since 2×677369² = 917657524322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (677309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1232 + ... + 1694.

It is an arithmetic number, because the mean of its divisors is an integer number (55680).

2⁶⁷⁷³⁶⁹ is an apocalyptic number.

It is an amenable number.

677369 is a deficient number, since it is larger than the sum of its proper divisors (213511).

677369 is a wasteful number, since it uses less digits than its factorization.

677369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500.

The product of its digits is 47628, while the sum is 38.

The square root of 677369 is about 823.0243009778. The cubic root of 677369 is about 87.8230345175.

The spelling of 677369 in words is "six hundred seventy-seven thousand, three hundred sixty-nine".