33825872 has 40 divisors (see below), whose sum is σ = 67555944. Its totient is φ = 16400384.

The previous prime is 33825839. The next prime is 33825877. The reversal of 33825872 is 27852833.

It can be written as a sum of positive squares in 4 ways, for example, as 602176 + 33223696 = 776^2 + 5764^2 .

It is a super-2 number, since 2×33825872² = 2288379233120768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33825877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95648 + ... + 96000.

Almost surely, 2^33825872 is an apocalyptic number.

It is an amenable number.

33825872 is a deficient number, since it is larger than the sum of its proper divisors (33730072).

33825872 is a wasteful number, since it uses less digits than its factorization.

33825872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 33825872 is about 5816.0013755157. The cubic root of 33825872 is about 323.4071871068.

The spelling of 33825872 in words is "thirty-three million, eight hundred twenty-five thousand, eight hundred seventy-two".