706633 has 2 divisors, whose sum is σ = 706634. Its totient is φ = 706632.

The previous prime is 706631. The next prime is 706661. The reversal of 706633 is 336607.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 473344 + 233289 = 688^2 + 483^2 .

It is a cyclic number.

It is not a de Polignac number, because 706633 - 2¹ = 706631 is a prime.

Together with 706631, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 706598 and 706607.

It is not a weakly prime, because it can be changed into another prime (706631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 353316 + 353317.

It is an arithmetic number, because the mean of its divisors is an integer number (353317).

2⁷⁰⁶⁶³³ is an apocalyptic number.

It is an amenable number.

706633 is a deficient number, since it is larger than the sum of its proper divisors (1).

706633 is an equidigital number, since it uses as much as digits as its factorization.

706633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 706633 is about 840.6146560702. The cubic root of 706633 is about 89.0699698054.

The spelling of 706633 in words is "seven hundred six thousand, six hundred thirty-three".