872816401 has 2 divisors, whose sum is σ = 872816402. Its totient is φ = 872816400.

The previous prime is 872816383. The next prime is 872816449. The reversal of 872816401 is 104618278.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 683038225 + 189778176 = 26135^2 + 13776^2 .

It is a cyclic number.

It is not a de Polignac number, because 872816401 - 2¹⁷ = 872685329 is a prime.

It is equal to p_44690572 and since 872816401 and 44690572 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (872816491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436408200 + 436408201.

It is an arithmetic number, because the mean of its divisors is an integer number (436408201).

Almost surely, 2^872816401 is an apocalyptic number.

It is an amenable number.

872816401 is a deficient number, since it is larger than the sum of its proper divisors (1).

872816401 is an equidigital number, since it uses as much as digits as its factorization.

872816401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 872816401 is about 29543.4662996745. The cubic root of 872816401 is about 955.6692953612.

The spelling of 872816401 in words is "eight hundred seventy-two million, eight hundred sixteen thousand, four hundred one".