829211985 has 144 divisors (see below), whose sum is σ = 1791219456. Its totient is φ = 360277632.

The previous prime is 829211959. The next prime is 829211989. The reversal of 829211985 is 589112928.

It is not a de Polignac number, because 829211985 - 2⁵ = 829211953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (103680) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 829211985.

It is not an unprimeable number, because it can be changed into a prime (829211989) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5281527 + ... + 5281683.

It is an arithmetic number, because the mean of its divisors is an integer number (12439024).

Almost surely, 2^829211985 is an apocalyptic number.

It is an amenable number.

829211985 is an abundant number, since it is smaller than the sum of its proper divisors (962007471).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829211985 is an equidigital number, since it uses as much as digits as its factorization.

829211985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 829211985 is about 28796.0411341559. The cubic root of 829211985 is about 939.4821294867.

The spelling of 829211985 in words is "eight hundred twenty-nine million, two hundred eleven thousand, nine hundred eighty-five".