3832971921 has 21 divisors (see below), whose sum is σ = 5749336299. Its totient is φ = 2554200216.

The previous prime is 3832971913. The next prime is 3832971931. The reversal of 3832971921 is 1291792383.

The square root of 3832971921 is 61911.

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., 1111889025 + 2721082896 = 33345^2 + 52164^2 .

It is not a de Polignac number, because 3832971921 - 2³ = 3832971913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3832971931) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1670451 + ... + 1672743.

It is an arithmetic number, because the mean of its divisors is an integer number (273777919).

Almost surely, 2^3832971921 is an apocalyptic number.

3832971921 is the 61911-st square number.

3832971921 is the 30956-th centered octagonal number.

It is an amenable number.

3832971921 is a deficient number, since it is larger than the sum of its proper divisors (1916364378).

3832971921 is an frugal number, since it uses more digits than its factorization.

3832971921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 2296 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The cubic root of 3832971921 is about 1564.9911258501.

The spelling of 3832971921 in words is "three billion, eight hundred thirty-two million, nine hundred seventy-one thousand, nine hundred twenty-one".