3997147729 has 9 divisors (see below), whose sum is σ = 4247247067. Its totient is φ = 3761009824.

The previous prime is 3997147723. The next prime is 3997147733. The reversal of 3997147729 is 9277417993.

The square root of 3997147729 is 63223.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3111966225 + 885181504 = 55785^2 + 29752^2 .

It is not a de Polignac number, because 3997147729 - 2⁵ = 3997147697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3997147723) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1072932 + ... + 1076650.

Almost surely, 2^3997147729 is an apocalyptic number.

3997147729 is the 63223-rd square number.

3997147729 is the 31612-nd centered octagonal number.

It is an amenable number.

3997147729 is a deficient number, since it is larger than the sum of its proper divisors (250099338).

3997147729 is an frugal number, since it uses more digits than its factorization.

3997147729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7472 (or 3736 counting only the distinct ones).

The product of its digits is 6001128, while the sum is 58.

The cubic root of 3997147729 is about 1587.0236540851.

The spelling of 3997147729 in words is "three billion, nine hundred ninety-seven million, one hundred forty-seven thousand, seven hundred twenty-nine".