29967201 has 24 divisors (see below), whose sum is σ = 47399040. Its totient is φ = 18093600.

The previous prime is 29967181. The next prime is 29967227. The reversal of 29967201 is 10276992.

It is not a de Polignac number, because 29967201 - 2⁹ = 29966689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29967241) 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 23 ways as a sum of consecutive naturals, for example, 41320 + ... + 42038.

It is an arithmetic number, because the mean of its divisors is an integer number (1974960).

Almost surely, 2^29967201 is an apocalyptic number.

It is an amenable number.

29967201 is a deficient number, since it is larger than the sum of its proper divisors (17431839).

29967201 is a wasteful number, since it uses less digits than its factorization.

29967201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 29967201 is about 5474.2306308741. The cubic root of 29967201 is about 310.6099713927.

The spelling of 29967201 in words is "twenty-nine million, nine hundred sixty-seven thousand, two hundred one".