820541 has 2 divisors, whose sum is σ = 820542. Its totient is φ = 820540.

The previous prime is 820537. The next prime is 820559. The reversal of 820541 is 145028.

820541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 417316 + 403225 = 646^2 + 635^2 .

It is a cyclic number.

It is not a de Polignac number, because 820541 - 2² = 820537 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410270 + 410271.

It is an arithmetic number, because the mean of its divisors is an integer number (410271).

2⁸²⁰⁵⁴¹ is an apocalyptic number.

It is an amenable number.

820541 is a deficient number, since it is larger than the sum of its proper divisors (1).

820541 is an equidigital number, since it uses as much as digits as its factorization.

820541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 820541 is about 905.8371818379. The cubic root of 820541 is about 93.6195958801.

Adding to 820541 its reverse (145028), we get a palindrome (965569).

The spelling of 820541 in words is "eight hundred twenty thousand, five hundred forty-one".