820458949 has 2 divisors, whose sum is σ = 820458950. Its totient is φ = 820458948.

The previous prime is 820458917. The next prime is 820458971. The reversal of 820458949 is 949854028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 816530625 + 3928324 = 28575^2 + 1982^2 .

It is a cyclic number.

It is not a de Polignac number, because 820458949 - 2⁵ = 820458917 is a prime.

It is a super-3 number, since 3×820458949³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820458049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410229474 + 410229475.

It is an arithmetic number, because the mean of its divisors is an integer number (410229475).

Almost surely, 2^820458949 is an apocalyptic number.

It is an amenable number.

820458949 is a deficient number, since it is larger than the sum of its proper divisors (1).

820458949 is an equidigital number, since it uses as much as digits as its factorization.

820458949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 820458949 is about 28643.6546027214. The cubic root of 820458949 is about 936.1647524080.

The spelling of 820458949 in words is "eight hundred twenty million, four hundred fifty-eight thousand, nine hundred forty-nine".