164057 has 2 divisors, whose sum is σ = 164058. Its totient is φ = 164056.

The previous prime is 164051. The next prime is 164071. The reversal of 164057 is 750461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163216 + 841 = 404^2 + 29^2 .

It is a cyclic number.

It is not a de Polignac number, because 164057 - 2⁶ = 163993 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164057.

It is not a weakly prime, because it can be changed into another prime (164051) 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, 82028 + 82029.

It is an arithmetic number, because the mean of its divisors is an integer number (82029).

2¹⁶⁴⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

164057 is a deficient number, since it is larger than the sum of its proper divisors (1).

164057 is an equidigital number, since it uses as much as digits as its factorization.

164057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 164057 is about 405.0395042462. The cubic root of 164057 is about 54.7433774994.

The spelling of 164057 in words is "one hundred sixty-four thousand, fifty-seven".