829212414 has 8 divisors (see below), whose sum is σ = 1658424840. Its totient is φ = 276404136.

The previous prime is 829212407. The next prime is 829212509. The reversal of 829212414 is 414212928.

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

829212414 is an admirable number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69101029 + ... + 69101040.

It is an arithmetic number, because the mean of its divisors is an integer number (207303105).

Almost surely, 2^829212414 is an apocalyptic number.

829212414 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

829212414 is a wasteful number, since it uses less digits than its factorization.

829212414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138202074.

The product of its digits is 9216, while the sum is 33.

The square root of 829212414 is about 28796.0485830956. The cubic root of 829212414 is about 939.4822915031.

It can be divided in two parts, 8292 and 12414, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 829212414 in words is "eight hundred twenty-nine million, two hundred twelve thousand, four hundred fourteen".