8461007 has 2 divisors, whose sum is σ = 8461008. Its totient is φ = 8461006.

The previous prime is 8461003. The next prime is 8461009. The reversal of 8461007 is 7001648.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8461007 - 2² = 8461003 is a prime.

Together with 8461009, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8461003) by changing a digit.

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 as a sum of consecutive naturals, namely, 4230503 + 4230504.

It is an arithmetic number, because the mean of its divisors is an integer number (4230504).

Almost surely, 2^8461007 is an apocalyptic number.

8461007 is a deficient number, since it is larger than the sum of its proper divisors (1).

8461007 is an equidigital number, since it uses as much as digits as its factorization.

8461007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 8461007 is about 2908.7810161647. The cubic root of 8461007 is about 203.7702061334.

The spelling of 8461007 in words is "eight million, four hundred sixty-one thousand, seven".