9280829 has 2 divisors, whose sum is σ = 9280830. Its totient is φ = 9280828.

The previous prime is 9280823. The next prime is 9280837.

9280829 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7828804 + 1452025 = 2798^2 + 1205^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 9280829 - 2¹⁶ = 9215293 is a prime.

It is a super-2 number, since 2×9280829² = 172267573854482, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₆₁₉₉₈₅ and since 9280829 and 619985 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 9280792 and 9280801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9280823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4640414 + 4640415.

It is an arithmetic number, because the mean of its divisors is an integer number (4640415).

Almost surely, 2^9280829 is an apocalyptic number.

It is an amenable number.

9280829 is a deficient number, since it is larger than the sum of its proper divisors (1).

9280829 is an equidigital number, since it uses as much as digits as its factorization.

9280829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 9280829 is about 3046.4453055980. The cubic root of 9280829 is about 210.1497722196.

The spelling of 9280829 in words is "nine million, two hundred eighty thousand, eight hundred twenty-nine".