3972147209 has 8 divisors (see below), whose sum is σ = 3999066120. Its totient is φ = 3945312000.

The previous prime is 3972147191. The next prime is 3972147217. The reversal of 3972147209 is 9027412793.

It can be written as a sum of positive squares in 4 ways, for example, as 876337609 + 3095809600 = 29603^2 + 55640^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3972147209 - 2²⁴ = 3955369993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3972147209.

It is not an unprimeable number, because it can be changed into a prime (3972147259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75809 + ... + 117009.

It is an arithmetic number, because the mean of its divisors is an integer number (499883265).

Almost surely, 2^3972147209 is an apocalyptic number.

It is an amenable number.

3972147209 is a deficient number, since it is larger than the sum of its proper divisors (26918911).

3972147209 is a wasteful number, since it uses less digits than its factorization.

3972147209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41851.

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 3972147209 is about 63024.9728996372. The cubic root of 3972147209 is about 1583.7080043733.

The spelling of 3972147209 in words is "three billion, nine hundred seventy-two million, one hundred forty-seven thousand, two hundred nine".