164431121 has 2 divisors, whose sum is σ = 164431122. Its totient is φ = 164431120.

The previous prime is 164431109. The next prime is 164431133. The reversal of 164431121 is 121134461.

It is a balanced prime because it is at equal distance from previous prime (164431109) and next prime (164431133).

It can be written as a sum of positive squares in only one way, i.e., 86285521 + 78145600 = 9289^2 + 8840^2 .

It is a cyclic number.

It is not a de Polignac number, because 164431121 - 2¹⁴ = 164414737 is a prime.

It is a super-3 number, since 3×164431121³ (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164431151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82215560 + 82215561.

It is an arithmetic number, because the mean of its divisors is an integer number (82215561).

Almost surely, 2^164431121 is an apocalyptic number.

It is an amenable number.

164431121 is a deficient number, since it is larger than the sum of its proper divisors (1).

164431121 is an equidigital number, since it uses as much as digits as its factorization.

164431121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

The square root of 164431121 is about 12823.0698742540. The cubic root of 164431121 is about 547.8495877620.

Adding to 164431121 its reverse (121134461), we get a palindrome (285565582).

The spelling of 164431121 in words is "one hundred sixty-four million, four hundred thirty-one thousand, one hundred twenty-one".