823249 has 12 divisors (see below), whose sum is σ = 978804. Its totient is φ = 690144.

The previous prime is 823243. The next prime is 823261. The reversal of 823249 is 942328.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 540225 = 532^2 + 735^2 .

It is not a de Polignac number, because 823249 - 2³ = 823241 is a prime.

Its product of digits (3456) is a multiple of the sum of its prime factors (384).

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (823241) 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 11 ways as a sum of consecutive naturals, for example, 2439 + ... + 2755.

It is an arithmetic number, because the mean of its divisors is an integer number (81567).

2⁸²³²⁴⁹ is an apocalyptic number.

It is an amenable number.

823249 is a deficient number, since it is larger than the sum of its proper divisors (155555).

823249 is a wasteful number, since it uses less digits than its factorization.

823249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 823249 is about 907.3307004615. The cubic root of 823249 is about 93.7224725106.

It can be divided in two parts, 8232 and 49, that added together give a square (8281 = 91²).

The spelling of 823249 in words is "eight hundred twenty-three thousand, two hundred forty-nine".