48164 has 6 divisors (see below), whose sum is σ = 84294. Its totient is φ = 24080.

The previous prime is 48163. The next prime is 48179. The reversal of 48164 is 46184.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 4900 = 208^2 + 70^2 .

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48164.

It is not an unprimeable number, because it can be changed into a prime (48163) by changing a digit.

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 as a sum of consecutive naturals, namely, 6017 + ... + 6024.

It is an arithmetic number, because the mean of its divisors is an integer number (14049).

2⁴⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

48164 is a deficient number, since it is larger than the sum of its proper divisors (36130).

48164 is a wasteful number, since it uses less digits than its factorization.

48164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045 (or 12043 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 48164 is about 219.4629809330. The cubic root of 48164 is about 36.3837547764.

It can be divided in two parts, 481 and 64, that added together give a palindrome (545).

The spelling of 48164 in words is "forty-eight thousand, one hundred sixty-four".