829213002 has 24 divisors (see below), whose sum is σ = 1797238560. Its totient is φ = 276310440.

The previous prime is 829212977. The next prime is 829213003. The reversal of 829213002 is 200312928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (829213003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64899 + ... + 76617.

It is an arithmetic number, because the mean of its divisors is an integer number (74884940).

Almost surely, 2^829213002 is an apocalyptic number.

829213002 is an abundant number, since it is smaller than the sum of its proper divisors (968025558).

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

829213002 is a wasteful number, since it uses less digits than its factorization.

829213002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15658 (or 15655 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 829213002 is about 28796.0587928279. The cubic root of 829213002 is about 939.4825135674.

The spelling of 829213002 in words is "eight hundred twenty-nine million, two hundred thirteen thousand, two".