165673 has 2 divisors, whose sum is σ = 165674. Its totient is φ = 165672.

The previous prime is 165667. The next prime is 165701. The reversal of 165673 is 376561.

It is an a-pointer prime, because the next prime (165701) can be obtained adding 165673 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150544 + 15129 = 388^2 + 123^2 .

It is a cyclic number.

It is not a de Polignac number, because 165673 - 2⁹ = 165161 is a prime.

It is not a weakly prime, because it can be changed into another prime (165653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82836 + 82837.

It is an arithmetic number, because the mean of its divisors is an integer number (82837).

2¹⁶⁵⁶⁷³ is an apocalyptic number.

It is an amenable number.

165673 is a deficient number, since it is larger than the sum of its proper divisors (1).

165673 is an equidigital number, since it uses as much as digits as its factorization.

165673 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3780, while the sum is 28.

The square root of 165673 is about 407.0294829616. The cubic root of 165673 is about 54.9225355750.

It can be divided in two parts, 165 and 673, that added together give a palindrome (838).

The spelling of 165673 in words is "one hundred sixty-five thousand, six hundred seventy-three".