864407 has 2 divisors, whose sum is σ = 864408. Its totient is φ = 864406.

The previous prime is 864379. The next prime is 864419. The reversal of 864407 is 704468.

864407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 864407 - 2⁸ = 864151 is a prime.

It is a super-3 number, since 3×864407³ = 1937653335136881429, which contains 333 as substring.

It is a d-powerful number, because it can be written as 8⁵ + 6⁵ + 4³ + 4⁴ + 0 + 7⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 864407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (864427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 432203 + 432204.

It is an arithmetic number, because the mean of its divisors is an integer number (432204).

2⁸⁶⁴⁴⁰⁷ is an apocalyptic number.

864407 is a deficient number, since it is larger than the sum of its proper divisors (1).

864407 is an equidigital number, since it uses as much as digits as its factorization.

864407 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 864407 is about 929.7349084551. The cubic root of 864407 is about 95.2590161460.

The spelling of 864407 in words is "eight hundred sixty-four thousand, four hundred seven".