823261 has 2 divisors, whose sum is σ = 823262. Its totient is φ = 823260.

The previous prime is 823243. The next prime is 823271. The reversal of 823261 is 162328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 799236 + 24025 = 894^2 + 155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-823261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823201) 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 as a sum of consecutive naturals, namely, 411630 + 411631.

It is an arithmetic number, because the mean of its divisors is an integer number (411631).

2⁸²³²⁶¹ is an apocalyptic number.

It is an amenable number.

823261 is a deficient number, since it is larger than the sum of its proper divisors (1).

823261 is an equidigital number, since it uses as much as digits as its factorization.

823261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 22.

The square root of 823261 is about 907.3373132413. The cubic root of 823261 is about 93.7229278869.

Adding to 823261 its reverse (162328), we get a palindrome (985589).

The spelling of 823261 in words is "eight hundred twenty-three thousand, two hundred sixty-one".