3993161 has 2 divisors, whose sum is σ = 3993162. Its totient is φ = 3993160.

The previous prime is 3993127. The next prime is 3993193. The reversal of 3993161 is 1613993.

It is an a-pointer prime, because the next prime (3993193) can be obtained adding 3993161 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3610000 + 383161 = 1900^2 + 619^2 .

It is a cyclic number.

It is not a de Polignac number, because 3993161 - 2¹⁸ = 3731017 is a prime.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (3995161) 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 as a sum of consecutive naturals, namely, 1996580 + 1996581.

It is an arithmetic number, because the mean of its divisors is an integer number (1996581).

Almost surely, 2^3993161 is an apocalyptic number.

It is an amenable number.

3993161 is a deficient number, since it is larger than the sum of its proper divisors (1).

3993161 is an equidigital number, since it uses as much as digits as its factorization.

3993161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 32.

The square root of 3993161 is about 1998.2895185633. The cubic root of 3993161 is about 158.6495849566.

The spelling of 3993161 in words is "three million, nine hundred ninety-three thousand, one hundred sixty-one".