4000164 has 36 divisors (see below), whose sum is σ = 10859184. Its totient is φ = 1142736.

The previous prime is 4000159. The next prime is 4000169. The reversal of 4000164 is 4610004.

It is an interprime number because it is at equal distance from previous prime (4000159) and next prime (4000169).

4000164 is a modest number, since divided by 164 gives 40 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4000169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2814 + ... + 3989.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 2^4000164 is an apocalyptic number.

It is an amenable number.

4000164 is an abundant number, since it is smaller than the sum of its proper divisors (6859020).

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

4000164 is a wasteful number, since it uses less digits than its factorization.

4000164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4000164 is about 2000.0409995798. The cubic root of 4000164 is about 158.7422746153.

Adding to 4000164 its reverse (4610004), we get a palindrome (8610168).

The spelling of 4000164 in words is "four million, one hundred sixty-four", and thus it is an aban number.