820162667 has 2 divisors, whose sum is σ = 820162668. Its totient is φ = 820162666.

The previous prime is 820162657. The next prime is 820162741. The reversal of 820162667 is 766261028.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820162667 - 2²⁰ = 819114091 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820162667.

It is not a weakly prime, because it can be changed into another prime (820162627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410081333 + 410081334.

It is an arithmetic number, because the mean of its divisors is an integer number (410081334).

Almost surely, 2^820162667 is an apocalyptic number.

820162667 is a deficient number, since it is larger than the sum of its proper divisors (1).

820162667 is an equidigital number, since it uses as much as digits as its factorization.

820162667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 820162667 is about 28638.4822747296. The cubic root of 820162667 is about 936.0520503812.

The spelling of 820162667 in words is "eight hundred twenty million, one hundred sixty-two thousand, six hundred sixty-seven".