684007 has 2 divisors, whose sum is σ = 684008. Its totient is φ = 684006.

The previous prime is 683983. The next prime is 684017. The reversal of 684007 is 700486.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 684007 - 2¹⁵ = 651239 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (684017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342003 + 342004.

It is an arithmetic number, because the mean of its divisors is an integer number (342004).

2⁶⁸⁴⁰⁰⁷ is an apocalyptic number.

684007 is a deficient number, since it is larger than the sum of its proper divisors (1).

684007 is an equidigital number, since it uses as much as digits as its factorization.

684007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 684007 is about 827.0471570594. The cubic root of 684007 is about 88.1089817138.

The spelling of 684007 in words is "six hundred eighty-four thousand, seven".