66113 has 4 divisors (see below), whose sum is σ = 70020. Its totient is φ = 62208.

The previous prime is 66109. The next prime is 66137. The reversal of 66113 is 31166.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31166 = 2 ⋅15583.

It can be written as a sum of positive squares in 2 ways, for example, as 49729 + 16384 = 223^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 66113 - 2² = 66109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 3889 = 66113 / (6 + 6 + 1 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66091 and 66100.

It is not an unprimeable number, because it can be changed into a prime (66103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1928 + ... + 1961.

It is an arithmetic number, because the mean of its divisors is an integer number (17505).

2⁶⁶¹¹³ is an apocalyptic number.

It is an amenable number.

66113 is a deficient number, since it is larger than the sum of its proper divisors (3907).

66113 is a wasteful number, since it uses less digits than its factorization.

66113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906.

The product of its digits is 108, while the sum is 17.

The square root of 66113 is about 257.1244834706. The cubic root of 66113 is about 40.4354506987.

Adding to 66113 its reverse (31166), we get a palindrome (97279).

The spelling of 66113 in words is "sixty-six thousand, one hundred thirteen".