677745 has 12 divisors (see below), whose sum is σ = 1174836. Its totient is φ = 361440.

The previous prime is 677737. The next prime is 677767. The reversal of 677745 is 547776.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 288369 = 624^2 + 537^2 .

It is not a de Polignac number, because 677745 - 2³ = 677737 is a prime.

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 11 ways as a sum of consecutive naturals, for example, 7486 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (97903).

2⁶⁷⁷⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

677745 is a deficient number, since it is larger than the sum of its proper divisors (497091).

677745 is a wasteful number, since it uses less digits than its factorization.

677745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15072 (or 15069 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 677745 is about 823.2526951064. The cubic root of 677745 is about 87.8392813751.

The spelling of 677745 in words is "six hundred seventy-seven thousand, seven hundred forty-five".