164094417 has 20 divisors (see below), whose sum is σ = 245475120. Its totient is φ = 109241784.

The previous prime is 164094401. The next prime is 164094461. The reversal of 164094417 is 714490461.

164094417 is a `hidden beast` number, since 1 + 640 + 9 + 4 + 4 + 1 + 7 = 666.

It is not a de Polignac number, because 164094417 - 2⁴ = 164094401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164094467) 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, 103134 + ... + 104712.

It is an arithmetic number, because the mean of its divisors is an integer number (12273756).

Almost surely, 2^164094417 is an apocalyptic number.

It is an amenable number.

164094417 is a deficient number, since it is larger than the sum of its proper divisors (81380703).

164094417 is a wasteful number, since it uses less digits than its factorization.

164094417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 164094417 is about 12809.9343089651. The cubic root of 164094417 is about 547.4753901492.

It can be divided in two parts, 1640944 and 17, that added together give a square (1640961 = 1281²).

The spelling of 164094417 in words is "one hundred sixty-four million, ninety-four thousand, four hundred seventeen".