9790249 has 32 divisors (see below), whose sum is σ = 12787200. Its totient is φ = 7451136.

The previous prime is 9790229. The next prime is 9790259. The reversal of 9790249 is 9420979.

9790249 = 183² + 184² + ... + 328².

It is not a de Polignac number, because 9790249 - 2⁵ = 9790217 is a prime.

It is a Duffinian number.

9790249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9790219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134077 + ... + 134149.

It is an arithmetic number, because the mean of its divisors is an integer number (399600).

Almost surely, 2^9790249 is an apocalyptic number.

It is an amenable number.

9790249 is a deficient number, since it is larger than the sum of its proper divisors (2996951).

9790249 is a wasteful number, since it uses less digits than its factorization.

9790249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 9790249 is about 3128.9373595520. The cubic root of 9790249 is about 213.9264967235.

The spelling of 9790249 in words is "nine million, seven hundred ninety thousand, two hundred forty-nine".