829339248 has 20 divisors (see below), whose sum is σ = 2142459848. Its totient is φ = 276446400.

The previous prime is 829339241. The next prime is 829339289. The reversal of 829339248 is 842933928.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 17277901 = 829339248 / (8 + 2 + 9 + 3 + 3 + 9 + 2 + 4 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 829339197 and 829339206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829339241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8638903 + ... + 8638998.

Almost surely, 2^829339248 is an apocalyptic number.

It is an amenable number.

829339248 is an abundant number, since it is smaller than the sum of its proper divisors (1313120600).

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

829339248 is a wasteful number, since it uses less digits than its factorization.

829339248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17277912 (or 17277906 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 829339248 is about 28798.2507802123. The cubic root of 829339248 is about 939.5301892513.

The spelling of 829339248 in words is "eight hundred twenty-nine million, three hundred thirty-nine thousand, two hundred forty-eight".