114164 has 6 divisors (see below), whose sum is σ = 199794. Its totient is φ = 57080.

The previous prime is 114161. The next prime is 114167. The reversal of 114164 is 461411.

It is an interprime number because it is at equal distance from previous prime (114161) and next prime (114167).

It can be written as a sum of positive squares in only one way, i.e., 85264 + 28900 = 292^2 + 170^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14267 + ... + 14274.

It is an arithmetic number, because the mean of its divisors is an integer number (33299).

2¹¹⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

114164 is a deficient number, since it is larger than the sum of its proper divisors (85630).

114164 is a wasteful number, since it uses less digits than its factorization.

114164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28545 (or 28543 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 114164 is about 337.8816360799. The cubic root of 114164 is about 48.5113163093.

Adding to 114164 its reverse (461411), we get a palindrome (575575).

The spelling of 114164 in words is "one hundred fourteen thousand, one hundred sixty-four".