164953 has 2 divisors, whose sum is σ = 164954. Its totient is φ = 164952.

The previous prime is 164911. The next prime is 164963. The reversal of 164953 is 359461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 26569 = 372^2 + 163^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164953 is a prime.

It is not a weakly prime, because it can be changed into another prime (164963) 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, 82476 + 82477.

It is an arithmetic number, because the mean of its divisors is an integer number (82477).

2¹⁶⁴⁹⁵³ is an apocalyptic number.

It is an amenable number.

164953 is a deficient number, since it is larger than the sum of its proper divisors (1).

164953 is an equidigital number, since it uses as much as digits as its factorization.

164953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 28.

The square root of 164953 is about 406.1440631106. The cubic root of 164953 is about 54.8428572336.

The spelling of 164953 in words is "one hundred sixty-four thousand, nine hundred fifty-three".