165032033 has 2 divisors, whose sum is σ = 165032034. Its totient is φ = 165032032.

The previous prime is 165031973. The next prime is 165032041. The reversal of 165032033 is 330230561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161976529 + 3055504 = 12727^2 + 1748^2 .

It is a cyclic number.

It is not a de Polignac number, because 165032033 - 2¹⁸ = 164769889 is a prime.

It is a super-2 number, since 2×165032033² = 54471143832226178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (165032333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82516016 + 82516017.

It is an arithmetic number, because the mean of its divisors is an integer number (82516017).

Almost surely, 2^165032033 is an apocalyptic number.

It is an amenable number.

165032033 is a deficient number, since it is larger than the sum of its proper divisors (1).

165032033 is an equidigital number, since it uses as much as digits as its factorization.

165032033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 165032033 is about 12846.4794009876. The cubic root of 165032033 is about 548.5161468473.

Adding to 165032033 its reverse (330230561), we get a palindrome (495262594).

The spelling of 165032033 in words is "one hundred sixty-five million, thirty-two thousand, thirty-three".