160033 has 2 divisors, whose sum is σ = 160034. Its totient is φ = 160032.

The previous prime is 160031. The next prime is 160049. The reversal of 160033 is 330061.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 71824 = 297^2 + 268^2 .

It is an emirp because it is prime and its reverse (330061) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 160033 - 2¹ = 160031 is a prime.

It is a super-2 number, since 2×160033² = 51221122178, which contains 22 as substring.

Together with 160031, it forms a pair of twin primes.

160033 is a modest number, since divided by 33 gives 16 as remainder.

160033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 159995 and 160022.

It is not a weakly prime, because it can be changed into another prime (160031) 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, 80016 + 80017.

It is an arithmetic number, because the mean of its divisors is an integer number (80017).

2¹⁶⁰⁰³³ is an apocalyptic number.

It is an amenable number.

160033 is a deficient number, since it is larger than the sum of its proper divisors (1).

160033 is an equidigital number, since it uses as much as digits as its factorization.

160033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 160033 is about 400.0412478733. The cubic root of 160033 is about 54.2920843996.

Adding to 160033 its reverse (330061), we get a palindrome (490094).

The spelling of 160033 in words is "one hundred sixty thousand, thirty-three".