1679546977 has 16 divisors (see below), whose sum is σ = 1869858000. Its totient is φ = 1501194240.

The previous prime is 1679546969. The next prime is 1679546983. The reversal of 1679546977 is 7796459761.

It can be written as a sum of positive squares in 8 ways, for example, as 5837056 + 1673709921 = 2416^2 + 40911^2 .

It is a cyclic number.

It is not a de Polignac number, because 1679546977 - 2³ = 1679546969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1679546987) 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, 2149 + ... + 57997.

It is an arithmetic number, because the mean of its divisors is an integer number (116866125).

Almost surely, 2^1679546977 is an apocalyptic number.

1679546977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1679546977 is a deficient number, since it is larger than the sum of its proper divisors (190311023).

1679546977 is a wasteful number, since it uses less digits than its factorization.

1679546977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55956.

The product of its digits is 20003760, while the sum is 61.

The square root of 1679546977 is about 40982.2763765021. The cubic root of 1679546977 is about 1188.6775264483.

The spelling of 1679546977 in words is "one billion, six hundred seventy-nine million, five hundred forty-six thousand, nine hundred seventy-seven".