863729 has 2 divisors, whose sum is σ = 863730. Its totient is φ = 863728.

The previous prime is 863711. The next prime is 863743. The reversal of 863729 is 927368.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 223729 = 800^2 + 473^2 .

It is a cyclic number.

It is not a de Polignac number, because 863729 - 2¹² = 859633 is a prime.

It is a d-powerful number, because it can be written as 8⁵ + 6⁷ + 7⁵ + 3¹² + 2¹¹ + 9³ .

It is not a weakly prime, because it can be changed into another prime (863749) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 431864 + 431865.

It is an arithmetic number, because the mean of its divisors is an integer number (431865).

2⁸⁶³⁷²⁹ is an apocalyptic number.

It is an amenable number.

863729 is a deficient number, since it is larger than the sum of its proper divisors (1).

863729 is an equidigital number, since it uses as much as digits as its factorization.

863729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 35.

The square root of 863729 is about 929.3702168673. The cubic root of 863729 is about 95.2341040748.

The spelling of 863729 in words is "eight hundred sixty-three thousand, seven hundred twenty-nine".