33001146 has 48 divisors (see below), whose sum is σ = 74162088. Its totient is φ = 10598400.

The previous prime is 33001141. The next prime is 33001147. The reversal of 33001146 is 64110033.

It can be written as a sum of positive squares in 4 ways, for example, as 16281225 + 16719921 = 4035^2 + 4089^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33001141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71356 + ... + 71816.

Almost surely, 2^33001146 is an apocalyptic number.

33001146 is an abundant number, since it is smaller than the sum of its proper divisors (41160942).

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

33001146 is a wasteful number, since it uses less digits than its factorization.

33001146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 33001146 is about 5744.6623921689. The cubic root of 33001146 is about 320.7571459206.

Adding to 33001146 its reverse (64110033), we get a palindrome (97111179).

The spelling of 33001146 in words is "thirty-three million, one thousand, one hundred forty-six".