864007 has 2 divisors, whose sum is σ = 864008. Its totient is φ = 864006.

The previous prime is 863983. The next prime is 864011. The reversal of 864007 is 700468.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 864007 - 2⁷ = 863879 is a prime.

864007 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (864037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 432003 + 432004.

It is an arithmetic number, because the mean of its divisors is an integer number (432004).

2⁸⁶⁴⁰⁰⁷ is an apocalyptic number.

864007 is a deficient number, since it is larger than the sum of its proper divisors (1).

864007 is an equidigital number, since it uses as much as digits as its factorization.

864007 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 25.

The square root of 864007 is about 929.5197684826. The cubic root of 864007 is about 95.2443203352.

The spelling of 864007 in words is "eight hundred sixty-four thousand, seven".