829008342 has 36 divisors (see below), whose sum is σ = 1895711220. Its totient is φ = 261790056.

The previous prime is 829008337. The next prime is 829008359. The reversal of 829008342 is 243800928.

It is a super-2 number, since 2×829008342² = 1374509662211177928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 829008297 and 829008306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57292 + ... + 70287.

It is an arithmetic number, because the mean of its divisors is an integer number (52658645).

Almost surely, 2^829008342 is an apocalyptic number.

829008342 is an abundant number, since it is smaller than the sum of its proper divisors (1066702878).

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

829008342 is a wasteful number, since it uses less digits than its factorization.

829008342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127625 (or 127603 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 829008342 is about 28792.5049622293. The cubic root of 829008342 is about 939.4052152490.

The spelling of 829008342 in words is "eight hundred twenty-nine million, eight thousand, three hundred forty-two".