33825136 has 40 divisors (see below), whose sum is σ = 68299200. Its totient is φ = 16208640.

The previous prime is 33825131. The next prime is 33825137. The reversal of 33825136 is 63152833.

It is a super-2 number, since 2×33825136² = 2288279650836992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33825098 and 33825107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33825131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124681 + ... + 124951.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 2^33825136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33825136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34149600).

33825136 is an abundant number, since it is smaller than the sum of its proper divisors (34474064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33825136 is a wasteful number, since it uses less digits than its factorization.

33825136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 33825136 is about 5815.9381014588. The cubic root of 33825136 is about 323.4048414721.

Adding to 33825136 its reverse (63152833), we get a palindrome (96977969).

The spelling of 33825136 in words is "thirty-three million, eight hundred twenty-five thousand, one hundred thirty-six".