1677997761 has 16 divisors (see below), whose sum is σ = 2441449728. Its totient is φ = 1016666000.

The previous prime is 1677997759. The next prime is 1677997793.

1677997761 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1677997761 - 2¹ = 1677997759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1677997695 and 1677997704.

It is not an unprimeable number, because it can be changed into a prime (1677997751) 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 15 ways as a sum of consecutive naturals, for example, 161650 + ... + 171716.

It is an arithmetic number, because the mean of its divisors is an integer number (152590608).

Almost surely, 2^1677997761 is an apocalyptic number.

1677997761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1677997761 is a deficient number, since it is larger than the sum of its proper divisors (763451967).

1677997761 is a wasteful number, since it uses less digits than its factorization.

1677997761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15132.

The product of its digits is 7001316, while the sum is 60.

The square root of 1677997761 is about 40963.3709672434. The cubic root of 1677997761 is about 1188.3119348603.

The spelling of 1677997761 in words is "one billion, six hundred seventy-seven million, nine hundred ninety-seven thousand, seven hundred sixty-one".