82037129 has 8 divisors (see below), whose sum is σ = 84821760. Its totient is φ = 79261200.

The previous prime is 82037093. The next prime is 82037141. The reversal of 82037129 is 92173028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82037129 - 2⁸ = 82036873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82037095 and 82037104.

It is not an unprimeable number, because it can be changed into a prime (82037429) 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 7 ways as a sum of consecutive naturals, for example, 21119 + ... + 24699.

It is an arithmetic number, because the mean of its divisors is an integer number (10602720).

Almost surely, 2^82037129 is an apocalyptic number.

It is an amenable number.

82037129 is a deficient number, since it is larger than the sum of its proper divisors (2784631).

82037129 is a wasteful number, since it uses less digits than its factorization.

82037129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 82037129 is about 9057.4350121875. The cubic root of 82037129 is about 434.5137103302.

The spelling of 82037129 in words is "eighty-two million, thirty-seven thousand, one hundred twenty-nine".