4008349 has 2 divisors, whose sum is σ = 4008350. Its totient is φ = 4008348.

The previous prime is 4008317. The next prime is 4008377. The reversal of 4008349 is 9438004.

It is an a-pointer prime, because the next prime (4008377) can be obtained adding 4008349 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3880900 + 127449 = 1970^2 + 357^2 .

It is a cyclic number.

It is not a de Polignac number, because 4008349 - 2⁵ = 4008317 is a prime.

4008349 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4008149) 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, 2004174 + 2004175.

It is an arithmetic number, because the mean of its divisors is an integer number (2004175).

Almost surely, 2^4008349 is an apocalyptic number.

It is an amenable number.

4008349 is a deficient number, since it is larger than the sum of its proper divisors (1).

4008349 is an equidigital number, since it uses as much as digits as its factorization.

4008349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4008349 is about 2002.0861619820. The cubic root of 4008349 is about 158.8504718730.

The spelling of 4008349 in words is "four million, eight thousand, three hundred forty-nine".