164872361 has 2 divisors, whose sum is σ = 164872362. Its totient is φ = 164872360.

The previous prime is 164872343. The next prime is 164872369. The reversal of 164872361 is 163278461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154753600 + 10118761 = 12440^2 + 3181^2 .

It is an emirp because it is prime and its reverse (163278461) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164872361 is a prime.

It is not a weakly prime, because it can be changed into another prime (164872369) 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, 82436180 + 82436181.

It is an arithmetic number, because the mean of its divisors is an integer number (82436181).

Almost surely, 2^164872361 is an apocalyptic number.

It is an amenable number.

164872361 is a deficient number, since it is larger than the sum of its proper divisors (1).

164872361 is an equidigital number, since it uses as much as digits as its factorization.

164872361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 38.

The square root of 164872361 is about 12840.2632761170. The cubic root of 164872361 is about 548.3391894210.

The spelling of 164872361 in words is "one hundred sixty-four million, eight hundred seventy-two thousand, three hundred sixty-one".