164963 has 2 divisors, whose sum is σ = 164964. Its totient is φ = 164962.

The previous prime is 164953. The next prime is 164987. The reversal of 164963 is 369461.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 164963 - 2⁸ = 164707 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164963.

It is not a weakly prime, because it can be changed into another prime (164953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82481 + 82482.

It is an arithmetic number, because the mean of its divisors is an integer number (82482).

2¹⁶⁴⁹⁶³ is an apocalyptic number.

164963 is a deficient number, since it is larger than the sum of its proper divisors (1).

164963 is an equidigital number, since it uses as much as digits as its factorization.

164963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

The square root of 164963 is about 406.1563738266. The cubic root of 164963 is about 54.8439654634.

The spelling of 164963 in words is "one hundred sixty-four thousand, nine hundred sixty-three".