164357 has 2 divisors, whose sum is σ = 164358. Its totient is φ = 164356.

The previous prime is 164341. The next prime is 164363. The reversal of 164357 is 753461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 58081 = 326^2 + 241^2 .

It is an emirp because it is prime and its reverse (753461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164357 - 2⁴ = 164341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82178 + 82179.

It is an arithmetic number, because the mean of its divisors is an integer number (82179).

2¹⁶⁴³⁵⁷ is an apocalyptic number.

It is an amenable number.

164357 is a deficient number, since it is larger than the sum of its proper divisors (1).

164357 is an equidigital number, since it uses as much as digits as its factorization.

164357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 26.

The square root of 164357 is about 405.4096693469. The cubic root of 164357 is about 54.7767256911.

The spelling of 164357 in words is "one hundred sixty-four thousand, three hundred fifty-seven".