33872023 has 2 divisors, whose sum is σ = 33872024. Its totient is φ = 33872022.

The previous prime is 33872011. The next prime is 33872053. The reversal of 33872023 is 32027833.

It is a weak prime.

It is an emirp because it is prime and its reverse (32027833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33872023 - 2⁹ = 33871511 is a prime.

It is a super-2 number, since 2×33872023² = 2294627884225058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33871982 and 33872000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33872053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16936011 + 16936012.

It is an arithmetic number, because the mean of its divisors is an integer number (16936012).

Almost surely, 2^33872023 is an apocalyptic number.

33872023 is a deficient number, since it is larger than the sum of its proper divisors (1).

33872023 is an equidigital number, since it uses as much as digits as its factorization.

33872023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 33872023 is about 5819.9676115937. The cubic root of 33872023 is about 323.5542026046.

Adding to 33872023 its reverse (32027833), we get a palindrome (65899856).

It can be divided in two parts, 338 and 72023, that added together give a square (72361 = 269²).

The spelling of 33872023 in words is "thirty-three million, eight hundred seventy-two thousand, twenty-three".