9785233 has 2 divisors, whose sum is σ = 9785234. Its totient is φ = 9785232.

The previous prime is 9785213. The next prime is 9785239. The reversal of 9785233 is 3325879.

9785233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8720209 + 1065024 = 2953^2 + 1032^2 .

It is a cyclic number.

It is not a de Polignac number, because 9785233 - 2⁵ = 9785201 is a prime.

It is a d-powerful number, because it can be written as 9³ + 7⁴ + 8² + 5¹⁰ + 2¹⁴ + 3 + 3³ .

9785233 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9785192 and 9785201.

It is not a weakly prime, because it can be changed into another prime (9785239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4892616 + 4892617.

It is an arithmetic number, because the mean of its divisors is an integer number (4892617).

Almost surely, 2^9785233 is an apocalyptic number.

It is an amenable number.

9785233 is a deficient number, since it is larger than the sum of its proper divisors (1).

9785233 is an equidigital number, since it uses as much as digits as its factorization.

9785233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360, while the sum is 37.

The square root of 9785233 is about 3128.1357067749. The cubic root of 9785233 is about 213.8899556502.

The spelling of 9785233 in words is "nine million, seven hundred eighty-five thousand, two hundred thirty-three".