83129193 has 32 divisors (see below), whose sum is σ = 141177600. Its totient is φ = 47357568.

The previous prime is 83129173. The next prime is 83129203. The reversal of 83129193 is 39192138.

It is not a de Polignac number, because 83129193 - 2¹⁰ = 83128169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83129173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107155 + ... + 107927.

It is an arithmetic number, because the mean of its divisors is an integer number (4411800).

Almost surely, 2^83129193 is an apocalyptic number.

It is an amenable number.

83129193 is a deficient number, since it is larger than the sum of its proper divisors (58048407).

83129193 is a wasteful number, since it uses less digits than its factorization.

83129193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1352 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 83129193 is about 9117.5212091884. The cubic root of 83129193 is about 436.4332747169.

The spelling of 83129193 in words is "eighty-three million, one hundred twenty-nine thousand, one hundred ninety-three".