33873689 has 2 divisors, whose sum is σ = 33873690. Its totient is φ = 33873688.

The previous prime is 33873677. The next prime is 33873691. The reversal of 33873689 is 98637833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27457600 + 6416089 = 5240^2 + 2533^2 .

It is a cyclic number.

It is not a de Polignac number, because 33873689 - 2¹⁶ = 33808153 is a prime.

It is a super-2 number, since 2×33873689² = 2294853612937442, which contains 22 as substring.

Together with 33873691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33873629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16936844 + 16936845.

It is an arithmetic number, because the mean of its divisors is an integer number (16936845).

Almost surely, 2^33873689 is an apocalyptic number.

It is an amenable number.

33873689 is a deficient number, since it is larger than the sum of its proper divisors (1).

33873689 is an equidigital number, since it uses as much as digits as its factorization.

33873689 is an evil number, because the sum of its binary digits is even.

The product of its digits is 653184, while the sum is 47.

The square root of 33873689 is about 5820.1107377781. The cubic root of 33873689 is about 323.5595072033.

The spelling of 33873689 in words is "thirty-three million, eight hundred seventy-three thousand, six hundred eighty-nine".