164291521 has 2 divisors, whose sum is σ = 164291522. Its totient is φ = 164291520.

The previous prime is 164291503. The next prime is 164291527. The reversal of 164291521 is 125192461.

164291521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146143921 + 18147600 = 12089^2 + 4260^2 .

It is a cyclic number.

It is not a de Polignac number, because 164291521 - 2¹¹ = 164289473 is a prime.

It is not a weakly prime, because it can be changed into another prime (164291527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82145760 + 82145761.

It is an arithmetic number, because the mean of its divisors is an integer number (82145761).

Almost surely, 2^164291521 is an apocalyptic number.

It is an amenable number.

164291521 is a deficient number, since it is larger than the sum of its proper divisors (1).

164291521 is an equidigital number, since it uses as much as digits as its factorization.

164291521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 31.

The square root of 164291521 is about 12817.6254041066. The cubic root of 164291521 is about 547.6945046778.

The spelling of 164291521 in words is "one hundred sixty-four million, two hundred ninety-one thousand, five hundred twenty-one".