185641 has 2 divisors, whose sum is σ = 185642. Its totient is φ = 185640.

The previous prime is 185621. The next prime is 185651. The reversal of 185641 is 146581.

185641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184041 + 1600 = 429^2 + 40^2 .

It is an emirp because it is prime and its reverse (146581) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 185641 - 2¹¹ = 183593 is a prime.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (185621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92820 + 92821.

It is an arithmetic number, because the mean of its divisors is an integer number (92821).

2¹⁸⁵⁶⁴¹ is an apocalyptic number.

185641 is the 273-rd centered pentagonal number.

It is an amenable number.

185641 is a deficient number, since it is larger than the sum of its proper divisors (1).

185641 is an equidigital number, since it uses as much as digits as its factorization.

185641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960, while the sum is 25.

The square root of 185641 is about 430.8607663735. The cubic root of 185641 is about 57.0459258472.

Subtracting from 185641 its reverse (146581), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 185641 in words is "one hundred eighty-five thousand, six hundred forty-one".