863633 has 2 divisors, whose sum is σ = 863634. Its totient is φ = 863632.

The previous prime is 863609. The next prime is 863641. The reversal of 863633 is 336368.

863633 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 can be written as a sum of positive squares in only one way, i.e., 693889 + 169744 = 833^2 + 412^2 .

It is a cyclic number.

It is not a de Polignac number, because 863633 - 2⁸ = 863377 is a prime.

It is equal to p₆₈₆₀₉ and since 863633 and 68609 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 863596 and 863605.

It is not a weakly prime, because it can be changed into another prime (863693) 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, 431816 + 431817.

It is an arithmetic number, because the mean of its divisors is an integer number (431817).

2⁸⁶³⁶³³ is an apocalyptic number.

It is an amenable number.

863633 is a deficient number, since it is larger than the sum of its proper divisors (1).

863633 is an equidigital number, since it uses as much as digits as its factorization.

863633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 29.

The square root of 863633 is about 929.3185675537. The cubic root of 863633 is about 95.2305756484.

The spelling of 863633 in words is "eight hundred sixty-three thousand, six hundred thirty-three".