164253121 has 2 divisors, whose sum is σ = 164253122. Its totient is φ = 164253120.

The previous prime is 164253091. The next prime is 164253137. The reversal of 164253121 is 121352461.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98724096 + 65529025 = 9936^2 + 8095^2 .

It is a cyclic number.

It is not a de Polignac number, because 164253121 - 2¹³ = 164244929 is a prime.

It is not a weakly prime, because it can be changed into another prime (164253151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82126560 + 82126561.

It is an arithmetic number, because the mean of its divisors is an integer number (82126561).

Almost surely, 2^164253121 is an apocalyptic number.

It is an amenable number.

164253121 is a deficient number, since it is larger than the sum of its proper divisors (1).

164253121 is an equidigital number, since it uses as much as digits as its factorization.

164253121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440, while the sum is 25.

The square root of 164253121 is about 12816.1273792047. The cubic root of 164253121 is about 547.6518303153.

The spelling of 164253121 in words is "one hundred sixty-four million, two hundred fifty-three thousand, one hundred twenty-one".