820166457 has 16 divisors (see below), whose sum is σ = 1225213632. Its totient is φ = 483635520.

The previous prime is 820166447. The next prime is 820166471. The reversal of 820166457 is 754661028.

It is not a de Polignac number, because 820166457 - 2⁶ = 820166393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820166437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334638 + ... + 337079.

It is an arithmetic number, because the mean of its divisors is an integer number (76575852).

Almost surely, 2^820166457 is an apocalyptic number.

It is an amenable number.

820166457 is a deficient number, since it is larger than the sum of its proper divisors (405047175).

820166457 is a wasteful number, since it uses less digits than its factorization.

820166457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671768.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 820166457 is about 28638.5484443608. The cubic root of 820166457 is about 936.0534922219.

The spelling of 820166457 in words is "eight hundred twenty million, one hundred sixty-six thousand, four hundred fifty-seven".