164405977 has 2 divisors, whose sum is σ = 164405978. Its totient is φ = 164405976.

The previous prime is 164405933. The next prime is 164405981. The reversal of 164405977 is 779504461.

164405977 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., 116186841 + 48219136 = 10779^2 + 6944^2 .

It is an emirp because it is prime and its reverse (779504461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164405977 - 2⁷ = 164405849 is a prime.

It is a super-3 number, since 3×164405977³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (164405077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82202988 + 82202989.

It is an arithmetic number, because the mean of its divisors is an integer number (82202989).

Almost surely, 2^164405977 is an apocalyptic number.

It is an amenable number.

164405977 is a deficient number, since it is larger than the sum of its proper divisors (1).

164405977 is an equidigital number, since it uses as much as digits as its factorization.

164405977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 164405977 is about 12822.0894163159. The cubic root of 164405977 is about 547.8216615151.

The spelling of 164405977 in words is "one hundred sixty-four million, four hundred five thousand, nine hundred seventy-seven".