820058933 has 2 divisors, whose sum is σ = 820058934. Its totient is φ = 820058932.

The previous prime is 820058923. The next prime is 820059001. The reversal of 820058933 is 339850028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 630913924 + 189145009 = 25118^2 + 13753^2 .

It is a cyclic number.

It is not a de Polignac number, because 820058933 - 2¹⁶ = 819993397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820058923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410029466 + 410029467.

It is an arithmetic number, because the mean of its divisors is an integer number (410029467).

Almost surely, 2^820058933 is an apocalyptic number.

It is an amenable number.

820058933 is a deficient number, since it is larger than the sum of its proper divisors (1).

820058933 is an equidigital number, since it uses as much as digits as its factorization.

820058933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 820058933 is about 28636.6711228802. The cubic root of 820058933 is about 936.0125848291.

The spelling of 820058933 in words is "eight hundred twenty million, fifty-eight thousand, nine hundred thirty-three".