164460167 has 8 divisors (see below), whose sum is σ = 167565600. Its totient is φ = 161377920.

The previous prime is 164460161. The next prime is 164460173. The reversal of 164460167 is 761064461.

It is an interprime number because it is at equal distance from previous prime (164460161) and next prime (164460173).

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 164460167 - 2⁶ = 164460103 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 (164460161) 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, 8867 + ... + 20187.

It is an arithmetic number, because the mean of its divisors is an integer number (20945700).

Almost surely, 2^164460167 is an apocalyptic number.

164460167 is a deficient number, since it is larger than the sum of its proper divisors (3105433).

164460167 is a wasteful number, since it uses less digits than its factorization.

164460167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11593.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 164460167 is about 12824.2023923517. The cubic root of 164460167 is about 547.8818442313.

The spelling of 164460167 in words is "one hundred sixty-four million, four hundred sixty thousand, one hundred sixty-seven".