4005173 has 2 divisors, whose sum is σ = 4005174. Its totient is φ = 4005172.

The previous prime is 4005137. The next prime is 4005203. The reversal of 4005173 is 3715004.

It is a happy number.

Together with previous prime (4005137) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3972049 + 33124 = 1993^2 + 182^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4005173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4005373) 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, 2002586 + 2002587.

It is an arithmetic number, because the mean of its divisors is an integer number (2002587).

Almost surely, 2^4005173 is an apocalyptic number.

It is an amenable number.

4005173 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005173 is an equidigital number, since it uses as much as digits as its factorization.

4005173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 4005173 is about 2001.2928321463. The cubic root of 4005173 is about 158.8085059326.

The spelling of 4005173 in words is "four million, five thousand, one hundred seventy-three".