4001349 has 24 divisors (see below), whose sum is σ = 5983936. Its totient is φ = 2376000.

The previous prime is 4001339. The next prime is 4001357. The reversal of 4001349 is 9431004.

4001349 = 150² + 151² + ... + 248².

4001349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-4001349 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26424 + ... + 26574.

Almost surely, 2^4001349 is an apocalyptic number.

It is an amenable number.

4001349 is a deficient number, since it is larger than the sum of its proper divisors (1982587).

4001349 is a wasteful number, since it uses less digits than its factorization.

4001349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4001349 is about 2000.3372215704. The cubic root of 4001349 is about 158.7579482246.

The spelling of 4001349 in words is "four million, one thousand, three hundred forty-nine".