33028009 has 9 divisors (see below), whose sum is σ = 38467191. Its totient is φ = 28275240.

The previous prime is 33028007. The next prime is 33028019. The reversal of 33028009 is 90082033.

It is a happy number.

The square root of 33028009 is 5747.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9018009 + 24010000 = 3003^2 + 4900^2 .

It is not a de Polignac number, because 33028009 - 2¹ = 33028007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33028003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39819 + ... + 40639.

Almost surely, 2^33028009 is an apocalyptic number.

33028009 is the 5747-th square number.

33028009 is the 2874-th centered octagonal number.

It is an amenable number.

33028009 is a deficient number, since it is larger than the sum of its proper divisors (5439182).

33028009 is an frugal number, since it uses more digits than its factorization.

33028009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The cubic root of 33028009 is about 320.8441546396.

Multiplying 33028009 by its sum of digits (25), we get a square (825700225 = 28735²).

Multiplying 33028009 by its product of nonzero digits (1296), we get a square (42804299664 = 206892²).

It can be divided in two parts, 3302 and 8009, that added together give a palindrome (11311).

The spelling of 33028009 in words is "thirty-three million, twenty-eight thousand, nine".