820162241 has 2 divisors, whose sum is σ = 820162242. Its totient is φ = 820162240.

The previous prime is 820162219. The next prime is 820162243. The reversal of 820162241 is 142261028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 547747216 + 272415025 = 23404^2 + 16505^2 .

It is a cyclic number.

It is not a de Polignac number, because 820162241 - 2¹⁰ = 820161217 is a prime.

It is a super-2 number, since 2×820162241² = 1345332203124284162, which contains 22 as substring.

Together with 820162243, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820162241.

It is not a weakly prime, because it can be changed into another prime (820162243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410081120 + 410081121.

It is an arithmetic number, because the mean of its divisors is an integer number (410081121).

Almost surely, 2^820162241 is an apocalyptic number.

It is an amenable number.

820162241 is a deficient number, since it is larger than the sum of its proper divisors (1).

820162241 is an equidigital number, since it uses as much as digits as its factorization.

820162241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 820162241 is about 28638.4748371836. The cubic root of 820162241 is about 936.0518883165.

The spelling of 820162241 in words is "eight hundred twenty million, one hundred sixty-two thousand, two hundred forty-one".