3972829 has 8 divisors (see below), whose sum is σ = 4587968. Its totient is φ = 3369600.

The previous prime is 3972817. The next prime is 3972833. The reversal of 3972829 is 9282793.

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 3972829 - 2¹¹ = 3970781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3972791 and 3972800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972809) 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, 2247 + ... + 3604.

It is an arithmetic number, because the mean of its divisors is an integer number (573496).

Almost surely, 2^3972829 is an apocalyptic number.

It is an amenable number.

3972829 is a deficient number, since it is larger than the sum of its proper divisors (615139).

3972829 is an equidigital number, since it uses as much as digits as its factorization.

3972829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955.

The product of its digits is 54432, while the sum is 40.

The square root of 3972829 is about 1993.1956752913. The cubic root of 3972829 is about 158.3798609952.

The spelling of 3972829 in words is "three million, nine hundred seventy-two thousand, eight hundred twenty-nine".