33729957 has 12 divisors (see below), whose sum is σ = 48775584. Its totient is φ = 22461480.

The previous prime is 33729947. The next prime is 33729961. The reversal of 33729957 is 75992733.

It is not a de Polignac number, because 33729957 - 2⁸ = 33729701 is a prime.

It is a super-2 number, since 2×33729957² = 2275419998443698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33729947) 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 11 ways as a sum of consecutive naturals, for example, 10168 + ... + 13070.

It is an arithmetic number, because the mean of its divisors is an integer number (4064632).

Almost surely, 2^33729957 is an apocalyptic number.

It is an amenable number.

33729957 is a deficient number, since it is larger than the sum of its proper divisors (15045627).

33729957 is a wasteful number, since it uses less digits than its factorization.

33729957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4197 counting only the distinct ones).

The product of its digits is 357210, while the sum is 45.

The square root of 33729957 is about 5807.7497363437. The cubic root of 33729957 is about 323.1012184895.

The spelling of 33729957 in words is "thirty-three million, seven hundred twenty-nine thousand, nine hundred fifty-seven".