164116 has 12 divisors (see below), whose sum is σ = 291060. Its totient is φ = 80960.

The previous prime is 164113. The next prime is 164117. The reversal of 164116 is 611461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 122500 = 204^2 + 350^2 .

It is a super-2 number, since 2×164116² = 53868122912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164093 and 164102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164113) 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 3 ways as a sum of consecutive naturals, for example, 126 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (24255).

2¹⁶⁴¹¹⁶ is an apocalyptic number.

It is an amenable number.

164116 is a deficient number, since it is larger than the sum of its proper divisors (126944).

164116 is a wasteful number, since it uses less digits than its factorization.

164116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 552 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 164116 is about 405.1123301012. The cubic root of 164116 is about 54.7499391866.

Adding to 164116 its reverse (611461), we get a palindrome (775577).

It can be divided in two parts, 16 and 4116, that multiplied together give a palindrome (65856).

The spelling of 164116 in words is "one hundred sixty-four thousand, one hundred sixteen".