165331 has 2 divisors, whose sum is σ = 165332. Its totient is φ = 165330.

The previous prime is 165317. The next prime is 165343. The reversal of 165331 is 133561.

165331 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 is a cyclic number.

It is not a de Polignac number, because 165331 - 2⁷ = 165203 is a prime.

It is a super-2 number, since 2×165331² = 54668679122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165299 and 165308.

It is not a weakly prime, because it can be changed into another prime (165311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82665 + 82666.

It is an arithmetic number, because the mean of its divisors is an integer number (82666).

2¹⁶⁵³³¹ is an apocalyptic number.

165331 is a deficient number, since it is larger than the sum of its proper divisors (1).

165331 is an equidigital number, since it uses as much as digits as its factorization.

165331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 19.

The square root of 165331 is about 406.6091489379. The cubic root of 165331 is about 54.8847172079.

Adding to 165331 its reverse (133561), we get a palindrome (298892).

It can be divided in two parts, 165 and 331, that multiplied together give a triangular number (54615 = T₃₃₀).

The spelling of 165331 in words is "one hundred sixty-five thousand, three hundred thirty-one".