164261521 has 2 divisors, whose sum is σ = 164261522. Its totient is φ = 164261520.

The previous prime is 164261507. The next prime is 164261549. The reversal of 164261521 is 125162461.

164261521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (164261549) can be obtained adding 164261521 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155351296 + 8910225 = 12464^2 + 2985^2 .

It is an emirp because it is prime and its reverse (125162461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164261521 - 2⁷ = 164261393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164261521.

It is not a weakly prime, because it can be changed into another prime (164211521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82130760 + 82130761.

It is an arithmetic number, because the mean of its divisors is an integer number (82130761).

Almost surely, 2^164261521 is an apocalyptic number.

It is an amenable number.

164261521 is a deficient number, since it is larger than the sum of its proper divisors (1).

164261521 is an equidigital number, since it uses as much as digits as its factorization.

164261521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2880, while the sum is 28.

The square root of 164261521 is about 12816.4550871136. The cubic root of 164261521 is about 547.6611659004.

The spelling of 164261521 in words is "one hundred sixty-four million, two hundred sixty-one thousand, five hundred twenty-one".