164004993 has 20 divisors (see below), whose sum is σ = 245358960. Its totient is φ = 109174392.

The previous prime is 164004989. The next prime is 164005007. The reversal of 164004993 is 399400461.

164004993 is a `hidden beast` number, since 1 + 640 + 0 + 4 + 9 + 9 + 3 = 666.

It is not a de Polignac number, because 164004993 - 2² = 164004989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164004913) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81546 + ... + 83532.

It is an arithmetic number, because the mean of its divisors is an integer number (12267948).

Almost surely, 2^164004993 is an apocalyptic number.

It is an amenable number.

164004993 is a deficient number, since it is larger than the sum of its proper divisors (81353967).

164004993 is a wasteful number, since it uses less digits than its factorization.

164004993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 164004993 is about 12806.4434172802. The cubic root of 164004993 is about 547.3759223427.

The spelling of 164004993 in words is "one hundred sixty-four million, four thousand, nine hundred ninety-three".