820458997 has 2 divisors, whose sum is σ = 820458998. Its totient is φ = 820458996.

The previous prime is 820458983. The next prime is 820459001. The reversal of 820458997 is 799854028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 802532241 + 17926756 = 28329^2 + 4234^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820458997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820458917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410229498 + 410229499.

It is an arithmetic number, because the mean of its divisors is an integer number (410229499).

Almost surely, 2^820458997 is an apocalyptic number.

It is an amenable number.

820458997 is a deficient number, since it is larger than the sum of its proper divisors (1).

820458997 is an equidigital number, since it uses as much as digits as its factorization.

820458997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 52.

The square root of 820458997 is about 28643.6554406032. The cubic root of 820458997 is about 936.1647706644.

The spelling of 820458997 in words is "eight hundred twenty million, four hundred fifty-eight thousand, nine hundred ninety-seven".