66123 has 16 divisors (see below), whose sum is σ = 102400. Its totient is φ = 42120.

The previous prime is 66109. The next prime is 66137. The reversal of 66123 is 32166.

It is a happy number.

66123 is a `hidden beast` number, since 661 + 2 + 3 = 666.

66123 is nontrivially palindromic in base 12.

66123 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (66109) and next prime (66137).

It is not a de Polignac number, because 66123 - 2⁴ = 66107 is a prime.

It is a super-2 number, since 2×66123² = 8744502258, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

66123 is an undulating number in base 12.

66123 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 66096 and 66105.

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 15 ways as a sum of consecutive naturals, for example, 798 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (6400).

2⁶⁶¹²³ is an apocalyptic number.

66123 is a deficient number, since it is larger than the sum of its proper divisors (36277).

66123 is a wasteful number, since it uses less digits than its factorization.

66123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 66123 is about 257.1439285692. The cubic root of 66123 is about 40.4374892999.

Adding to 66123 its reverse (32166), we get a palindrome (98289).

It can be divided in two parts, 66 and 123, that multiplied together give a palindrome (8118).

The spelling of 66123 in words is "sixty-six thousand, one hundred twenty-three".