33872161 has 2 divisors, whose sum is σ = 33872162. Its totient is φ = 33872160.

The previous prime is 33872149. The next prime is 33872171. The reversal of 33872161 is 16127833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33408400 + 463761 = 5780^2 + 681^2 .

It is a cyclic number.

It is not a de Polignac number, because 33872161 - 2¹³ = 33863969 is a prime.

It is a super-2 number, since 2×33872161² = 2294646581619842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33872171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16936080 + 16936081.

It is an arithmetic number, because the mean of its divisors is an integer number (16936081).

Almost surely, 2^33872161 is an apocalyptic number.

It is an amenable number.

33872161 is a deficient number, since it is larger than the sum of its proper divisors (1).

33872161 is an equidigital number, since it uses as much as digits as its factorization.

33872161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

The square root of 33872161 is about 5819.9794673177. The cubic root of 33872161 is about 323.5546420078.

Adding to 33872161 its reverse (16127833), we get a palindrome (49999994).

The spelling of 33872161 in words is "thirty-three million, eight hundred seventy-two thousand, one hundred sixty-one".