20032033 has 6 divisors (see below), whose sum is σ = 23302626. Its totient is φ = 17170272.

The previous prime is 20032021. The next prime is 20032043. The reversal of 20032033 is 33023002.

It can be written as a sum of positive squares in only one way, i.e., 17114769 + 2917264 = 4137^2 + 1708^2 .

It is not a de Polignac number, because 20032033 - 2⁹ = 20031521 is a prime.

It is a super-2 number, since 2×20032033² = 802564692226178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20032013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204360 + ... + 204457.

It is an arithmetic number, because the mean of its divisors is an integer number (3883771).

Almost surely, 2^20032033 is an apocalyptic number.

It is an amenable number.

20032033 is a deficient number, since it is larger than the sum of its proper divisors (3270593).

20032033 is an equidigital number, since it uses as much as digits as its factorization.

20032033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408831 (or 408824 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 20032033 is about 4475.7159203864. The cubic root of 20032033 is about 271.5866025914.

Adding to 20032033 its reverse (33023002), we get a palindrome (53055035).

The spelling of 20032033 in words is "twenty million, thirty-two thousand, thirty-three".