164205607 has 8 divisors (see below), whose sum is σ = 168163776. Its totient is φ = 160279392.

The previous prime is 164205583. The next prime is 164205617. The reversal of 164205607 is 706502461.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164205607 - 2⁷ = 164205479 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164205617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2578 + ... + 18304.

It is an arithmetic number, because the mean of its divisors is an integer number (21020472).

Almost surely, 2^164205607 is an apocalyptic number.

164205607 is a deficient number, since it is larger than the sum of its proper divisors (3958169).

164205607 is a wasteful number, since it uses less digits than its factorization.

164205607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15977.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 164205607 is about 12814.2735650524. The cubic root of 164205607 is about 547.5990182523.

The spelling of 164205607 in words is "one hundred sixty-four million, two hundred five thousand, six hundred seven".