164641527 has 48 divisors (see below), whose sum is σ = 258935040. Its totient is φ = 100569600.

The previous prime is 164641523. The next prime is 164641541. The reversal of 164641527 is 725146461.

164641527 is a `hidden beast` number, since 1 + 6 + 4 + 641 + 5 + 2 + 7 = 666.

It is not a de Polignac number, because 164641527 - 2² = 164641523 is a prime.

Its product of digits (40320) is a multiple of the sum of its prime factors (504).

It is a junction number, because it is equal to n+sod(n) for n = 164641491 and 164641500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164641523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423049 + ... + 423437.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 2^164641527 is an apocalyptic number.

164641527 is a deficient number, since it is larger than the sum of its proper divisors (94293513).

164641527 is a wasteful number, since it uses less digits than its factorization.

164641527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 501 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 164641527 is about 12831.2714490810. The cubic root of 164641527 is about 548.0831642037.

Adding to 164641527 its reverse (725146461), we get a palindrome (889787988).

The spelling of 164641527 in words is "one hundred sixty-four million, six hundred forty-one thousand, five hundred twenty-seven".