820129129 has 8 divisors (see below), whose sum is σ = 866371680. Its totient is φ = 774194400.

The previous prime is 820129117. The next prime is 820129171. The reversal of 820129129 is 921921028.

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 820129129 - 2⁵ = 820129097 is a prime.

It is a super-2 number, since 2×820129129² = 1345223576468597282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820129094 and 820129103.

It is not an unprimeable number, because it can be changed into a prime (820129229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71467 + ... + 82144.

It is an arithmetic number, because the mean of its divisors is an integer number (108296460).

Almost surely, 2^820129129 is an apocalyptic number.

It is an amenable number.

820129129 is a deficient number, since it is larger than the sum of its proper divisors (46242551).

820129129 is a wasteful number, since it uses less digits than its factorization.

820129129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153911.

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 820129129 is about 28637.8967279373. The cubic root of 820129129 is about 936.0392912287.

The spelling of 820129129 in words is "eight hundred twenty million, one hundred twenty-nine thousand, one hundred twenty-nine".