820449541 has 2 divisors, whose sum is σ = 820449542. Its totient is φ = 820449540.

The previous prime is 820449499. The next prime is 820449557. The reversal of 820449541 is 145944028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 819676900 + 772641 = 28630^2 + 879^2 .

It is a cyclic number.

It is not a de Polignac number, because 820449541 - 2¹⁷ = 820318469 is a prime.

It is a super-2 number, since 2×820449541² = 1346274898654221362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 820449541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820449041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410224770 + 410224771.

It is an arithmetic number, because the mean of its divisors is an integer number (410224771).

Almost surely, 2^820449541 is an apocalyptic number.

It is an amenable number.

820449541 is a deficient number, since it is larger than the sum of its proper divisors (1).

820449541 is an equidigital number, since it uses as much as digits as its factorization.

820449541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 820449541 is about 28643.4903773964. The cubic root of 820449541 is about 936.1611741377.

The spelling of 820449541 in words is "eight hundred twenty million, four hundred forty-nine thousand, five hundred forty-one".