164312257 has 2 divisors, whose sum is σ = 164312258. Its totient is φ = 164312256.

The previous prime is 164312251. The next prime is 164312263. The reversal of 164312257 is 752213461.

It is a balanced prime because it is at equal distance from previous prime (164312251) and next prime (164312263).

It can be written as a sum of positive squares in only one way, i.e., 149597361 + 14714896 = 12231^2 + 3836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164312257 is a prime.

It is not a weakly prime, because it can be changed into another prime (164312251) 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, 82156128 + 82156129.

It is an arithmetic number, because the mean of its divisors is an integer number (82156129).

Almost surely, 2^164312257 is an apocalyptic number.

It is an amenable number.

164312257 is a deficient number, since it is larger than the sum of its proper divisors (1).

164312257 is an equidigital number, since it uses as much as digits as its factorization.

164312257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

The square root of 164312257 is about 12818.4342647610. The cubic root of 164312257 is about 547.7175460687.

The spelling of 164312257 in words is "one hundred sixty-four million, three hundred twelve thousand, two hundred fifty-seven".