33729047 has 16 divisors (see below), whose sum is σ = 39294720. Its totient is φ = 28627200.

The previous prime is 33729043. The next prime is 33729049. The reversal of 33729047 is 74092733.

It is not a de Polignac number, because 33729047 - 2² = 33729043 is a prime.

It is a super-2 number, since 2×33729047² = 2275297223056418, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33728998 and 33729016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33729043) 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, 13703 + ... + 15975.

It is an arithmetic number, because the mean of its divisors is an integer number (2455920).

Almost surely, 2^33729047 is an apocalyptic number.

33729047 is a deficient number, since it is larger than the sum of its proper divisors (5565673).

33729047 is a wasteful number, since it uses less digits than its factorization.

33729047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374.

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 33729047 is about 5807.6713922191. The cubic root of 33729047 is about 323.0983128158.

The spelling of 33729047 in words is "thirty-three million, seven hundred twenty-nine thousand, forty-seven".