33013047 has 8 divisors (see below), whose sum is σ = 45437440. Its totient is φ = 21298680.

The previous prime is 33013039. The next prime is 33013069. The reversal of 33013047 is 74031033.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 33013047 - 2³ = 33013039 is a prime.

It is a super-2 number, since 2×33013047² = 2179722544448418, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33013007) 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 7 ways as a sum of consecutive naturals, for example, 177397 + ... + 177582.

It is an arithmetic number, because the mean of its divisors is an integer number (5679680).

Almost surely, 2^33013047 is an apocalyptic number.

33013047 is a deficient number, since it is larger than the sum of its proper divisors (12424393).

33013047 is a wasteful number, since it uses less digits than its factorization.

33013047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355013.

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 33013047 is about 5745.6981299055. The cubic root of 33013047 is about 320.7956988445.

The spelling of 33013047 in words is "thirty-three million, thirteen thousand, forty-seven".