33781132 has 48 divisors (see below), whose sum is σ = 74850048. Its totient is φ = 12957120.

The previous prime is 33781081. The next prime is 33781133. The reversal of 33781132 is 23118733.

It is a super-2 number, since 2×33781132² = 2282329758402848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 33781132.

It is not an unprimeable number, because it can be changed into a prime (33781133) 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 15 ways as a sum of consecutive naturals, for example, 19818 + ... + 21454.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2^33781132 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 33781132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37425024).

33781132 is an abundant number, since it is smaller than the sum of its proper divisors (41068916).

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

33781132 is a wasteful number, since it uses less digits than its factorization.

33781132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1724 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 33781132 is about 5812.1538176480. The cubic root of 33781132 is about 323.2645386875.

Adding to 33781132 its reverse (23118733), we get a palindrome (56899865).

The spelling of 33781132 in words is "thirty-three million, seven hundred eighty-one thousand, one hundred thirty-two".