46164 has 12 divisors (see below), whose sum is σ = 107744. Its totient is φ = 15384.

The previous prime is 46153. The next prime is 46171.

46164 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×46164² = 4262229792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46164.

It is a congruent number.

It is an unprimeable number.

46164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1912 + ... + 1935.

2⁴⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

46164 is an abundant number, since it is smaller than the sum of its proper divisors (61580).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53872).

46164 is a wasteful number, since it uses less digits than its factorization.

46164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3852 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 46164 is about 214.8580927031. The cubic root of 46164 is about 35.8730093551.

It can be divided in two parts, 461 and 64, that added together give a palindrome (525).

The spelling of 46164 in words is "forty-six thousand, one hundred sixty-four".