872161 has 2 divisors, whose sum is σ = 872162. Its totient is φ = 872160.

The previous prime is 872159. The next prime is 872173. The reversal of 872161 is 161278.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 664225 + 207936 = 815^2 + 456^2 .

It is a cyclic number.

It is not a de Polignac number, because 872161 - 2¹ = 872159 is a prime.

Together with 872159, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (872141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436080 + 436081.

It is an arithmetic number, because the mean of its divisors is an integer number (436081).

2⁸⁷²¹⁶¹ is an apocalyptic number.

It is an amenable number.

872161 is a deficient number, since it is larger than the sum of its proper divisors (1).

872161 is an equidigital number, since it uses as much as digits as its factorization.

872161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 25.

The square root of 872161 is about 933.8956044441. The cubic root of 872161 is about 95.5430030283.

The spelling of 872161 in words is "eight hundred seventy-two thousand, one hundred sixty-one".