33872149 has 2 divisors, whose sum is σ = 33872150. Its totient is φ = 33872148.

The previous prime is 33872147. The next prime is 33872161. The reversal of 33872149 is 94127833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28965924 + 4906225 = 5382^2 + 2215^2 .

It is a cyclic number.

It is not a de Polignac number, because 33872149 - 2¹ = 33872147 is a prime.

It is a super-2 number, since 2×33872149² = 2294644955756402, which contains 22 as substring.

Together with 33872147, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33872147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16936074 + 16936075.

It is an arithmetic number, because the mean of its divisors is an integer number (16936075).

Almost surely, 2^33872149 is an apocalyptic number.

It is an amenable number.

33872149 is a deficient number, since it is larger than the sum of its proper divisors (1).

33872149 is an equidigital number, since it uses as much as digits as its factorization.

33872149 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 37.

The square root of 33872149 is about 5819.9784363862. The cubic root of 33872149 is about 323.5546037988.

The spelling of 33872149 in words is "thirty-three million, eight hundred seventy-two thousand, one hundred forty-nine".