684407 has 2 divisors, whose sum is σ = 684408. Its totient is φ = 684406.

The previous prime is 684379. The next prime is 684419. The reversal of 684407 is 704486.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-684407 is a prime.

It is a Chen prime.

It is an Ulam number.

It is equal to p₅₅₃₈₈ and since 684407 and 55388 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 684407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (684427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342203 + 342204.

It is an arithmetic number, because the mean of its divisors is an integer number (342204).

2⁶⁸⁴⁴⁰⁷ is an apocalyptic number.

684407 is a deficient number, since it is larger than the sum of its proper divisors (1).

684407 is an equidigital number, since it uses as much as digits as its factorization.

684407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 684407 is about 827.2889458950. The cubic root of 684407 is about 88.1261534312.

The spelling of 684407 in words is "six hundred eighty-four thousand, four hundred seven".