3993129 has 24 divisors (see below), whose sum is σ = 6644352. Its totient is φ = 2263680.

The previous prime is 3993127. The next prime is 3993161. The reversal of 3993129 is 9213993.

It is not a de Polignac number, because 3993129 - 2¹ = 3993127 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3993093 and 3993102.

It is not an unprimeable number, because it can be changed into a prime (3993127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15052 + ... + 15314.

It is an arithmetic number, because the mean of its divisors is an integer number (276848).

Almost surely, 2^3993129 is an apocalyptic number.

It is an amenable number.

3993129 is a deficient number, since it is larger than the sum of its proper divisors (2651223).

3993129 is a wasteful number, since it uses less digits than its factorization.

3993129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 514 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 3993129 is about 1998.2815116995. The cubic root of 3993129 is about 158.6491611653.

The spelling of 3993129 in words is "three million, nine hundred ninety-three thousand, one hundred twenty-nine".