164217657 has 8 divisors (see below), whose sum is σ = 219039520. Its totient is φ = 109437120.

The previous prime is 164217629. The next prime is 164217667. The reversal of 164217657 is 756712461.

164217657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 164217657 - 2⁶ = 164217593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164217667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594 + ... + 18132.

It is an arithmetic number, because the mean of its divisors is an integer number (27379940).

Almost surely, 2^164217657 is an apocalyptic number.

It is an amenable number.

164217657 is a deficient number, since it is larger than the sum of its proper divisors (54821863).

164217657 is a wasteful number, since it uses less digits than its factorization.

164217657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20663.

The product of its digits is 70560, while the sum is 39.

The square root of 164217657 is about 12814.7437352450. The cubic root of 164217657 is about 547.6124128553.

The spelling of 164217657 in words is "one hundred sixty-four million, two hundred seventeen thousand, six hundred fifty-seven".