8213376 has 64 divisors (see below), whose sum is σ = 22191120. Its totient is φ = 2691072.

The previous prime is 8213353. The next prime is 8213399. The reversal of 8213376 is 6733128.

It is an interprime number because it is at equal distance from previous prime (8213353) and next prime (8213399).

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27886 + ... + 28178.

Almost surely, 2^8213376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095560).

8213376 is an abundant number, since it is smaller than the sum of its proper divisors (13977744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8213376 is a wasteful number, since it uses less digits than its factorization.

8213376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 8213376 is about 2865.8988118913. The cubic root of 8213376 is about 201.7625547082.

The spelling of 8213376 in words is "eight million, two hundred thirteen thousand, three hundred seventy-six".