821048071 has 8 divisors (see below), whose sum is σ = 839347200. Its totient is φ = 802895160.

The previous prime is 821048057. The next prime is 821048117. The reversal of 821048071 is 170840128.

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

It is a cyclic number.

It is not a de Polignac number, because 821048071 - 2²¹ = 818950919 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821048021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25161 + ... + 47698.

It is an arithmetic number, because the mean of its divisors is an integer number (104918400).

Almost surely, 2^821048071 is an apocalyptic number.

821048071 is a deficient number, since it is larger than the sum of its proper divisors (18299129).

821048071 is a wasteful number, since it uses less digits than its factorization.

821048071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73109.

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 821048071 is about 28653.9363962441. The cubic root of 821048071 is about 936.3887665818.

Adding to 821048071 its reverse (170840128), we get a palindrome (991888199).

The spelling of 821048071 in words is "eight hundred twenty-one million, forty-eight thousand, seventy-one".