3973829 has 2 divisors, whose sum is σ = 3973830. Its totient is φ = 3973828.

The previous prime is 3973811. The next prime is 3973847. The reversal of 3973829 is 9283793.

3973829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (3973811) and next prime (3973847).

It can be written as a sum of positive squares in only one way, i.e., 3330625 + 643204 = 1825^2 + 802^2 .

It is a cyclic number.

It is not a de Polignac number, because 3973829 - 2¹² = 3969733 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3973129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1986914 + 1986915.

It is an arithmetic number, because the mean of its divisors is an integer number (1986915).

Almost surely, 2^3973829 is an apocalyptic number.

It is an amenable number.

3973829 is a deficient number, since it is larger than the sum of its proper divisors (1).

3973829 is an equidigital number, since it uses as much as digits as its factorization.

3973829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 41.

The square root of 3973829 is about 1993.4465129519. The cubic root of 3973829 is about 158.3931484682.

The spelling of 3973829 in words is "three million, nine hundred seventy-three thousand, eight hundred twenty-nine".