4001311 has 4 divisors (see below), whose sum is σ = 4006224. Its totient is φ = 3996400.

The previous prime is 4001303. The next prime is 4001339. The reversal of 4001311 is 1131004.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 4001311 - 2³ = 4001303 is a prime.

It is a Duffinian number.

4001311 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001111) 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 3 ways as a sum of consecutive naturals, for example, 910 + ... + 2971.

It is an arithmetic number, because the mean of its divisors is an integer number (1001556).

Almost surely, 2^4001311 is an apocalyptic number.

4001311 is a deficient number, since it is larger than the sum of its proper divisors (4913).

4001311 is a wasteful number, since it uses less digits than its factorization.

4001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 4001311 is about 2000.3277231494. The cubic root of 4001311 is about 158.7574456590.

Adding to 4001311 its reverse (1131004), we get a palindrome (5132315).

It can be divided in two parts, 400 and 1311, that added together give a triangular number (1711 = T₅₈).

The spelling of 4001311 in words is "four million, one thousand, three hundred eleven".