3983161 has 24 divisors (see below), whose sum is σ = 5155080. Its totient is φ = 3066336.

The previous prime is 3983153. The next prime is 3983197. The reversal of 3983161 is 1613893.

It can be written as a sum of positive squares in 4 ways, for example, as 490000 + 3493161 = 700^2 + 1869^2 .

It is not a de Polignac number, because 3983161 - 2³ = 3983153 is a prime.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3983131) 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, 107635 + ... + 107671.

It is an arithmetic number, because the mean of its divisors is an integer number (214795).

Almost surely, 2^3983161 is an apocalyptic number.

It is an amenable number.

3983161 is a deficient number, since it is larger than the sum of its proper divisors (1171919).

3983161 is an equidigital number, since it uses as much as digits as its factorization.

3983161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 3983161 is about 1995.7858101510. The cubic root of 3983161 is about 158.5170398343.

The spelling of 3983161 in words is "three million, nine hundred eighty-three thousand, one hundred sixty-one".