823541 has 2 divisors, whose sum is σ = 823542. Its totient is φ = 823540.

The previous prime is 823519. The next prime is 823547. The reversal of 823541 is 145328.

823541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 568516 + 255025 = 754^2 + 505^2 .

It is a cyclic number.

It is not a de Polignac number, because 823541 - 2¹⁰ = 822517 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411770 + 411771.

It is an arithmetic number, because the mean of its divisors is an integer number (411771).

823541 is a Friedman number, since it can be written as (4+3)^(8-1^5)-2, using all its digits and the basic arithmetic operations.

2⁸²³⁵⁴¹ is an apocalyptic number.

It is an amenable number.

823541 is a deficient number, since it is larger than the sum of its proper divisors (1).

823541 is an equidigital number, since it uses as much as digits as its factorization.

823541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 960, while the sum is 23.

The square root of 823541 is about 907.4915977572. The cubic root of 823541 is about 93.7335520774.

Adding to 823541 its reverse (145328), we get a palindrome (968869).

The spelling of 823541 in words is "eight hundred twenty-three thousand, five hundred forty-one".