164977441 has 2 divisors, whose sum is σ = 164977442. Its totient is φ = 164977440.

The previous prime is 164977387. The next prime is 164977451. The reversal of 164977441 is 144779461.

164977441 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., 125350416 + 39627025 = 11196^2 + 6295^2 .

It is a cyclic number.

It is not a de Polignac number, because 164977441 - 2¹³ = 164969249 is a prime.

It is equal to p_9237787 and since 164977441 and 9237787 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (164977451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82488720 + 82488721.

It is an arithmetic number, because the mean of its divisors is an integer number (82488721).

Almost surely, 2^164977441 is an apocalyptic number.

It is an amenable number.

164977441 is a deficient number, since it is larger than the sum of its proper divisors (1).

164977441 is an equidigital number, since it uses as much as digits as its factorization.

164977441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 169344, while the sum is 43.

The square root of 164977441 is about 12844.3544407650. The cubic root of 164977441 is about 548.4556577907.

The spelling of 164977441 in words is "one hundred sixty-four million, nine hundred seventy-seven thousand, four hundred forty-one".