821048117 has 2 divisors, whose sum is σ = 821048118. Its totient is φ = 821048116.

The previous prime is 821048057. The next prime is 821048131. The reversal of 821048117 is 711840128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 625300036 + 195748081 = 25006^2 + 13991^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-821048117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (821048177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410524058 + 410524059.

It is an arithmetic number, because the mean of its divisors is an integer number (410524059).

Almost surely, 2^821048117 is an apocalyptic number.

It is an amenable number.

821048117 is a deficient number, since it is larger than the sum of its proper divisors (1).

821048117 is an equidigital number, since it uses as much as digits as its factorization.

821048117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 821048117 is about 28653.9371989261. The cubic root of 821048117 is about 936.3887840691.

The spelling of 821048117 in words is "eight hundred twenty-one million, forty-eight thousand, one hundred seventeen".