3997129 has 2 divisors, whose sum is σ = 3997130. Its totient is φ = 3997128.

The previous prime is 3997117. The next prime is 3997141. The reversal of 3997129 is 9217993.

It is a balanced prime because it is at equal distance from previous prime (3997117) and next prime (3997141).

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 76729 = 1980^2 + 277^2 .

It is a cyclic number.

It is not a de Polignac number, because 3997129 - 2⁷ = 3997001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3997091 and 3997100.

It is not a weakly prime, because it can be changed into another prime (3995129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1998564 + 1998565.

It is an arithmetic number, because the mean of its divisors is an integer number (1998565).

Almost surely, 2^3997129 is an apocalyptic number.

It is an amenable number.

3997129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3997129 is an equidigital number, since it uses as much as digits as its factorization.

3997129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30618, while the sum is 40.

The square root of 3997129 is about 1999.2821211625. The cubic root of 3997129 is about 158.7021175367.

It can be divided in two parts, 39971 and 29, that added together give a square (40000 = 200²).

The spelling of 3997129 in words is "three million, nine hundred ninety-seven thousand, one hundred twenty-nine".