29985093 has 16 divisors (see below), whose sum is σ = 47036160. Its totient is φ = 18813888.

The previous prime is 29985089. The next prime is 29985139. The reversal of 29985093 is 39058992.

It is not a de Polignac number, because 29985093 - 2² = 29985089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29985023) 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 15 ways as a sum of consecutive naturals, for example, 32205 + ... + 33122.

It is an arithmetic number, because the mean of its divisors is an integer number (2939760).

Almost surely, 2^29985093 is an apocalyptic number.

It is an amenable number.

29985093 is a deficient number, since it is larger than the sum of its proper divisors (17051067).

29985093 is a wasteful number, since it uses less digits than its factorization.

29985093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65353 (or 65347 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 29985093 is about 5475.8645892681. The cubic root of 29985093 is about 310.6717759408.

The spelling of 29985093 in words is "twenty-nine million, nine hundred eighty-five thousand, ninety-three".