823961 has 2 divisors, whose sum is σ = 823962. Its totient is φ = 823960.

The previous prime is 823913. The next prime is 823967. The reversal of 823961 is 169328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 697225 + 126736 = 835^2 + 356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-823961 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 823961.

It is not a weakly prime, because it can be changed into another prime (823967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411980 + 411981.

It is an arithmetic number, because the mean of its divisors is an integer number (411981).

2⁸²³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

823961 is a deficient number, since it is larger than the sum of its proper divisors (1).

823961 is an equidigital number, since it uses as much as digits as its factorization.

823961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 29.

The square root of 823961 is about 907.7229753620. The cubic root of 823961 is about 93.7494838490.

The spelling of 823961 in words is "eight hundred twenty-three thousand, nine hundred sixty-one".