182561 has 2 divisors, whose sum is σ = 182562. Its totient is φ = 182560.

The previous prime is 182549. The next prime is 182579. The reversal of 182561 is 165281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180625 + 1936 = 425^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 182561 - 2¹⁰ = 181537 is a prime.

It is a Chen prime.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (182261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91280 + 91281.

It is an arithmetic number, because the mean of its divisors is an integer number (91281).

2¹⁸²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

182561 is a deficient number, since it is larger than the sum of its proper divisors (1).

182561 is an equidigital number, since it uses as much as digits as its factorization.

182561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 480, while the sum is 23.

The square root of 182561 is about 427.2715764008. The cubic root of 182561 is about 56.7286787494.

The spelling of 182561 in words is "one hundred eighty-two thousand, five hundred sixty-one".