4013321 has 8 divisors (see below), whose sum is σ = 4382280. Its totient is φ = 3652992.

The previous prime is 4013297. The next prime is 4013323. The reversal of 4013321 is 1233104.

It can be written as a sum of positive squares in 4 ways, for example, as 1254400 + 2758921 = 1120^2 + 1661^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4013321 - 2¹⁰ = 4012297 is a prime.

It is a super-2 number, since 2×4013321² = 32213490898082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4013296 and 4013305.

It is not an unprimeable number, because it can be changed into a prime (4013323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1166 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (547785).

Almost surely, 2^4013321 is an apocalyptic number.

It is an amenable number.

4013321 is a deficient number, since it is larger than the sum of its proper divisors (368959).

4013321 is a wasteful number, since it uses less digits than its factorization.

4013321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 4013321 is about 2003.3274819659. The cubic root of 4013321 is about 158.9161246900.

Adding to 4013321 its reverse (1233104), we get a palindrome (5246425).

It can be divided in two parts, 4013 and 321, that added together give a palindrome (4334).

The spelling of 4013321 in words is "four million, thirteen thousand, three hundred twenty-one".