167633 has 2 divisors, whose sum is σ = 167634. Its totient is φ = 167632.

The previous prime is 167627. The next prime is 167641. The reversal of 167633 is 336761.

167633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 82369 = 292^2 + 287^2 .

It is an emirp because it is prime and its reverse (336761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167633 - 2¹⁰ = 166609 is a prime.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (167623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83816 + 83817.

It is an arithmetic number, because the mean of its divisors is an integer number (83817).

2¹⁶⁷⁶³³ is an apocalyptic number.

It is an amenable number.

167633 is a deficient number, since it is larger than the sum of its proper divisors (1).

167633 is an equidigital number, since it uses as much as digits as its factorization.

167633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 26.

The square root of 167633 is about 409.4300917129. The cubic root of 167633 is about 55.1382746640.

The spelling of 167633 in words is "one hundred sixty-seven thousand, six hundred thirty-three".