33007945 has 16 divisors (see below), whose sum is σ = 41193360. Its totient is φ = 25360384.

The previous prime is 33007943. The next prime is 33007951. The reversal of 33007945 is 54970033.

It can be written as a sum of positive squares in 8 ways, for example, as 71824 + 32936121 = 268^2 + 5739^2 .

It is not a de Polignac number, because 33007945 - 2¹ = 33007943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33007943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33297 + ... + 34273.

It is an arithmetic number, because the mean of its divisors is an integer number (2574585).

Almost surely, 2^33007945 is an apocalyptic number.

It is an amenable number.

33007945 is a deficient number, since it is larger than the sum of its proper divisors (8185415).

33007945 is a wasteful number, since it uses less digits than its factorization.

33007945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 33007945 is about 5745.2541284089. The cubic root of 33007945 is about 320.7791722070.

Adding to 33007945 its reverse (54970033), we get a palindrome (87977978).

The spelling of 33007945 in words is "thirty-three million, seven thousand, nine hundred forty-five".