820187441 has 2 divisors, whose sum is σ = 820187442. Its totient is φ = 820187440.

The previous prime is 820187437. The next prime is 820187447. The reversal of 820187441 is 144781028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 554367025 + 265820416 = 23545^2 + 16304^2 .

It is a cyclic number.

It is not a de Polignac number, because 820187441 - 2² = 820187437 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (820187447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410093720 + 410093721.

It is an arithmetic number, because the mean of its divisors is an integer number (410093721).

Almost surely, 2^820187441 is an apocalyptic number.

It is an amenable number.

820187441 is a deficient number, since it is larger than the sum of its proper divisors (1).

820187441 is an equidigital number, since it uses as much as digits as its factorization.

820187441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 820187441 is about 28638.9148013677. The cubic root of 820187441 is about 936.0614751457.

The spelling of 820187441 in words is "eight hundred twenty million, one hundred eighty-seven thousand, four hundred forty-one".