83129241 has 24 divisors (see below), whose sum is σ = 121166496. Its totient is φ = 50668800.

The previous prime is 83129227. The next prime is 83129243. The reversal of 83129241 is 14292138.

It is not a de Polignac number, because 83129241 - 2⁹ = 83128729 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83129199 and 83129208.

It is not an unprimeable number, because it can be changed into a prime (83129243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56566 + ... + 58016.

It is an arithmetic number, because the mean of its divisors is an integer number (5048604).

Almost surely, 2^83129241 is an apocalyptic number.

It is an amenable number.

83129241 is a deficient number, since it is larger than the sum of its proper divisors (38037255).

83129241 is a wasteful number, since it uses less digits than its factorization.

83129241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1580 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 83129241 is about 9117.5238414824. The cubic root of 83129241 is about 436.4333587179.

The spelling of 83129241 in words is "eighty-three million, one hundred twenty-nine thousand, two hundred forty-one".