33630045 has 32 divisors (see below), whose sum is σ = 55641600. Its totient is φ = 17333760.

The previous prime is 33630041. The next prime is 33630083. The reversal of 33630045 is 54003633.

It is not a de Polignac number, because 33630045 - 2² = 33630041 is a prime.

It is a super-2 number, since 2×33630045² = 2261959853404050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33629997 and 33630024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33630041) 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 31 ways as a sum of consecutive naturals, for example, 91452 + ... + 91818.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^33630045 is an apocalyptic number.

It is an amenable number.

33630045 is a deficient number, since it is larger than the sum of its proper divisors (22011555).

33630045 is a wasteful number, since it uses less digits than its factorization.

33630045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 33630045 is about 5799.1417468450. The cubic root of 33630045 is about 322.7818820263.

Adding to 33630045 its reverse (54003633), we get a palindrome (87633678).

It can be divided in two parts, 336 and 30045, that added together give a triangular number (30381 = T₂₄₆).

The spelling of 33630045 in words is "thirty-three million, six hundred thirty thousand, forty-five".