17972829 has 12 divisors (see below), whose sum is σ = 29669536. Its totient is φ = 10270152.

The previous prime is 17972813. The next prime is 17972833. The reversal of 17972829 is 92827971.

It is not a de Polignac number, because 17972829 - 2⁴ = 17972813 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17972329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142579 + ... + 142704.

Almost surely, 2^17972829 is an apocalyptic number.

It is an amenable number.

17972829 is a deficient number, since it is larger than the sum of its proper divisors (11696707).

17972829 is a wasteful number, since it uses less digits than its factorization.

17972829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285296 (or 285293 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 17972829 is about 4239.4373447428. The cubic root of 17972829 is about 261.9422060430.

The spelling of 17972829 in words is "seventeen million, nine hundred seventy-two thousand, eight hundred twenty-nine".