704977 has 16 divisors (see below), whose sum is σ = 888832. Its totient is φ = 544320.

The previous prime is 704947. The next prime is 704983. The reversal of 704977 is 779407.

It is not a de Polignac number, because 704977 - 2⁷ = 704849 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 704977 = 2³ + 89³ = 41³ + 86³.

704977 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (704947) 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, 5488 + ... + 5614.

It is an arithmetic number, because the mean of its divisors is an integer number (55552).

2⁷⁰⁴⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

704977 is a deficient number, since it is larger than the sum of its proper divisors (183855).

704977 is a wasteful number, since it uses less digits than its factorization.

704977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 12348, while the sum is 34.

The square root of 704977 is about 839.6290847749. The cubic root of 704977 is about 89.0003366566. Note that the first 3 decimals are identical.

It can be divided in two parts, 704 and 977, that added together give a square (1681 = 41²).

The spelling of 704977 in words is "seven hundred four thousand, nine hundred seventy-seven".