8400213 has 16 divisors (see below), whose sum is σ = 12491200. Its totient is φ = 5579280.

The previous prime is 8400211. The next prime is 8400229. The reversal of 8400213 is 3120048.

It is a happy number.

It is not a de Polignac number, because 8400213 - 2¹ = 8400211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10998 + ... + 11736.

It is an arithmetic number, because the mean of its divisors is an integer number (780700).

Almost surely, 2^8400213 is an apocalyptic number.

It is an amenable number.

8400213 is a deficient number, since it is larger than the sum of its proper divisors (4090987).

8400213 is a wasteful number, since it uses less digits than its factorization.

8400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1163 counting only the distinct ones).

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

The square root of 8400213 is about 2898.3120949960. The cubic root of 8400213 is about 203.2809895423.

The spelling of 8400213 in words is "eight million, four hundred thousand, two hundred thirteen".