3997567983 has 16 divisors (see below), whose sum is σ = 5432839776. Its totient is φ = 2613711360.

The previous prime is 3997567963. The next prime is 3997567999. The reversal of 3997567983 is 3897657993.

It is not a de Polignac number, because 3997567983 - 2¹⁴ = 3997551599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997567913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705843 + ... + 711483.

It is an arithmetic number, because the mean of its divisors is an integer number (339552486).

Almost surely, 2^3997567983 is an apocalyptic number.

3997567983 is a deficient number, since it is larger than the sum of its proper divisors (1435271793).

3997567983 is a wasteful number, since it uses less digits than its factorization.

3997567983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154.

The product of its digits is 77157360, while the sum is 66.

The square root of 3997567983 is about 63226.3234974168. The cubic root of 3997567983 is about 1587.0792712160.

The spelling of 3997567983 in words is "three billion, nine hundred ninety-seven million, five hundred sixty-seven thousand, nine hundred eighty-three".