8200413 has 32 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 4950720.

The previous prime is 8200411. The next prime is 8200427. The reversal of 8200413 is 3140028.

It is a happy number.

8200413 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8200413 - 2¹ = 8200411 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8200411) 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 31 ways as a sum of consecutive naturals, for example, 21220 + ... + 21602.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^8200413 is an apocalyptic number.

It is an amenable number.

8200413 is a deficient number, since it is larger than the sum of its proper divisors (5132067).

8200413 is a wasteful number, since it uses less digits than its factorization.

8200413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8200413 is about 2863.6363246753. The cubic root of 8200413 is about 201.6563529396.

The spelling of 8200413 in words is "eight million, two hundred thousand, four hundred thirteen".