8213967 has 20 divisors (see below), whose sum is σ = 12806640. Its totient is φ = 5236704.

The previous prime is 8213951. The next prime is 8213969. The reversal of 8213967 is 7693128.

It is not a de Polignac number, because 8213967 - 2⁴ = 8213951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8213969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 342 + ... + 4067.

It is an arithmetic number, because the mean of its divisors is an integer number (640332).

Almost surely, 2^8213967 is an apocalyptic number.

8213967 is a deficient number, since it is larger than the sum of its proper divisors (4592673).

8213967 is a wasteful number, since it uses less digits than its factorization.

8213967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4435 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 8213967 is about 2866.0019190503. The cubic root of 8213967 is about 201.7673939205.

It can be divided in two parts, 8213 and 967, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8213967 in words is "eight million, two hundred thirteen thousand, nine hundred sixty-seven".