164006919 has 12 divisors (see below), whose sum is σ = 245068200. Its totient is φ = 105567504.

The previous prime is 164006897. The next prime is 164006971. The reversal of 164006919 is 919600461.

164006919 is a `hidden beast` number, since 1 + 640 + 0 + 6 + 9 + 1 + 9 = 666.

It is not a de Polignac number, because 164006919 - 2¹¹ = 164004871 is a prime.

It is a super-2 number, since 2×164006919² = 53796538959745122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164001919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313929 + ... + 314450.

It is an arithmetic number, because the mean of its divisors is an integer number (20422350).

Almost surely, 2^164006919 is an apocalyptic number.

164006919 is a deficient number, since it is larger than the sum of its proper divisors (81061281).

164006919 is a wasteful number, since it uses less digits than its factorization.

164006919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628414 (or 628411 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 164006919 is about 12806.5186135811. The cubic root of 164006919 is about 547.3780650455.

The spelling of 164006919 in words is "one hundred sixty-four million, six thousand, nine hundred nineteen".