164214405 has 64 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 84254976.

The previous prime is 164214403. The next prime is 164214419. The reversal of 164214405 is 504412461.

164214405 is a `hidden beast` number, since 1 + 642 + 14 + 4 + 0 + 5 = 666.

164214405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164214405 - 2¹ = 164214403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164214403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421951 + ... + 422339.

It is an arithmetic number, because the mean of its divisors is an integer number (4738500).

Almost surely, 2^164214405 is an apocalyptic number.

164214405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164214405 is a deficient number, since it is larger than the sum of its proper divisors (139049595).

164214405 is a wasteful number, since it uses less digits than its factorization.

164214405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 164214405 is about 12814.6168495199. The cubic root of 164214405 is about 547.6087980444.

Adding to 164214405 its reverse (504412461), we get a palindrome (668626866).

The spelling of 164214405 in words is "one hundred sixty-four million, two hundred fourteen thousand, four hundred five".