823288249 has 9 divisors (see below), whose sum is σ = 957936357. Its totient is φ = 705503484.

The previous prime is 823288247. The next prime is 823288253. The reversal of 823288249 is 942882328.

It is a happy number.

The square root of 823288249 is 28693.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 823288249 - 2¹ = 823288247 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 823288199 and 823288208.

It is not an unprimeable number, because it can be changed into a prime (823288247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198802 + ... + 202900.

It is an arithmetic number, because the mean of its divisors is an integer number (106437373).

Almost surely, 2^823288249 is an apocalyptic number.

823288249 is the 28693-rd square number.

823288249 is the 14347-th centered octagonal number.

It is an amenable number.

823288249 is a deficient number, since it is larger than the sum of its proper divisors (134648108).

823288249 is an frugal number, since it uses more digits than its factorization.

823288249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 4106 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The cubic root of 823288249 is about 937.2396191612.

The spelling of 823288249 in words is "eight hundred twenty-three million, two hundred eighty-eight thousand, two hundred forty-nine".