829540314 has 24 divisors (see below), whose sum is σ = 1815870420. Its totient is φ = 273662208.

The previous prime is 829540307. The next prime is 829540321. The reversal of 829540314 is 413045928.

829540314 is a `hidden beast` number, since 82 + 9 + 540 + 31 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (829540307) and next prime (829540321).

It can be written as a sum of positive squares in 2 ways, for example, as 760932225 + 68608089 = 27585^2 + 8283^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235809 + ... + 239300.

Almost surely, 2^829540314 is an apocalyptic number.

829540314 is an abundant number, since it is smaller than the sum of its proper divisors (986330106).

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

829540314 is a wasteful number, since it uses less digits than its factorization.

829540314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475214 (or 475211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 829540314 is about 28801.7415098462. The cubic root of 829540314 is about 939.6061100574.

The spelling of 829540314 in words is "eight hundred twenty-nine million, five hundred forty thousand, three hundred fourteen".