70164 has 18 divisors (see below), whose sum is σ = 177450. Its totient is φ = 23376.

The previous prime is 70163. The next prime is 70177. The reversal of 70164 is 46107.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 3600 = 258^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70164.

It is not an unprimeable number, because it can be changed into a prime (70163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 939 + ... + 1010.

2⁷⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

70164 is an abundant number, since it is smaller than the sum of its proper divisors (107286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70164 is a wasteful number, since it uses less digits than its factorization.

70164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 70164 is about 264.8848806557. The cubic root of 70164 is about 41.2450131713.

Subtracting from 70164 its product of nonzero digits (168), we obtain a palindrome (69996).

The spelling of 70164 in words is "seventy thousand, one hundred sixty-four".