820355233 has 2 divisors, whose sum is σ = 820355234. Its totient is φ = 820355232.

The previous prime is 820355227. The next prime is 820355243. The reversal of 820355233 is 332553028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 817559649 + 2795584 = 28593^2 + 1672^2 .

It is a cyclic number.

It is not a de Polignac number, because 820355233 - 2¹⁷ = 820224161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 820355195 and 820355204.

It is not a weakly prime, because it can be changed into another prime (820355203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410177616 + 410177617.

It is an arithmetic number, because the mean of its divisors is an integer number (410177617).

Almost surely, 2^820355233 is an apocalyptic number.

It is an amenable number.

820355233 is a deficient number, since it is larger than the sum of its proper divisors (1).

820355233 is an equidigital number, since it uses as much as digits as its factorization.

820355233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 820355233 is about 28641.8440921670. The cubic root of 820355233 is about 936.1253032049.

It can be divided in two parts, 8203 and 55233, that added together give a palindrome (63436).

The spelling of 820355233 in words is "eight hundred twenty million, three hundred fifty-five thousand, two hundred thirty-three".