8200007 has 2 divisors, whose sum is σ = 8200008. Its totient is φ = 8200006.

The previous prime is 8199979. The next prime is 8200013. The reversal of 8200007 is 7000028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8200007 - 2⁶ = 8199943 is a prime.

It is a super-2 number, since 2×8200007² = 134480229600098, which contains 22 as substring.

It is a Chen prime.

It is equal to p₅₅₂₃₂₀ and since 8200007 and 552320 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8200037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4100003 + 4100004.

It is an arithmetic number, because the mean of its divisors is an integer number (4100004).

Almost surely, 2^8200007 is an apocalyptic number.

8200007 is a deficient number, since it is larger than the sum of its proper divisors (1).

8200007 is an equidigital number, since it uses as much as digits as its factorization.

8200007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 8200007 is about 2863.5654349080. The cubic root of 8200007 is about 201.6530249027.

The spelling of 8200007 in words is "eight million, two hundred thousand, seven".