8213007 has 8 divisors (see below), whose sum is σ = 11946240. Its totient is φ = 4977560.

The previous prime is 8212991. The next prime is 8213033. The reversal of 8213007 is 7003128.

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 8213007 - 2⁴ = 8212991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8213207) 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 7 ways as a sum of consecutive naturals, for example, 124407 + ... + 124472.

It is an arithmetic number, because the mean of its divisors is an integer number (1493280).

Almost surely, 2^8213007 is an apocalyptic number.

8213007 is a deficient number, since it is larger than the sum of its proper divisors (3733233).

8213007 is a wasteful number, since it uses less digits than its factorization.

8213007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248893.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 8213007 is about 2865.8344334591. The cubic root of 8213007 is about 201.7595331534.

It can be divided in two parts, 821 and 3007, that added together give a triangular number (3828 = T₈₇).

The spelling of 8213007 in words is "eight million, two hundred thirteen thousand, seven".