827709350 has 48 divisors (see below), whose sum is σ = 1745252880. Its totient is φ = 289526400.

The previous prime is 827709301. The next prime is 827709361. The reversal of 827709350 is 53907728.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 827709298 and 827709307.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21161 + ... + 45860.

It is an arithmetic number, because the mean of its divisors is an integer number (36359435).

Almost surely, 2^827709350 is an apocalyptic number.

827709350 is an abundant number, since it is smaller than the sum of its proper divisors (917543530).

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

827709350 is a wasteful number, since it uses less digits than its factorization.

827709350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67065 (or 67060 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 827709350 is about 28769.9383037225. The cubic root of 827709350 is about 938.9143002950.

The spelling of 827709350 in words is "eight hundred twenty-seven million, seven hundred nine thousand, three hundred fifty".