33775056 has 240 divisors, whose sum is σ = 120242304. Its totient is φ = 8957952.

The previous prime is 33775037. The next prime is 33775057. The reversal of 33775056 is 65057733.

It is a super-2 number, since 2×33775056² = 2281508815606272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33775056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33775057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462636 + ... + 462708.

Almost surely, 2^33775056 is an apocalyptic number.

33775056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33775056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60121152).

33775056 is an abundant number, since it is smaller than the sum of its proper divisors (86467248).

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

33775056 is a wasteful number, since it uses less digits than its factorization.

33775056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 33775056 is about 5811.6310963446. The cubic root of 33775056 is about 323.2451563381.

The spelling of 33775056 in words is "thirty-three million, seven hundred seventy-five thousand, fifty-six".