67113 has 6 divisors (see below), whose sum is σ = 96954. Its totient is φ = 44736.

The previous prime is 67103. The next prime is 67121. The reversal of 67113 is 31176.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 15129 = 228^2 + 123^2 .

It is not a de Polignac number, because 67113 - 2⁶ = 67049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3720 + ... + 3737.

It is an arithmetic number, because the mean of its divisors is an integer number (16159).

2⁶⁷¹¹³ is an apocalyptic number.

It is an amenable number.

67113 is a deficient number, since it is larger than the sum of its proper divisors (29841).

67113 is a wasteful number, since it uses less digits than its factorization.

67113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7463 (or 7460 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 67113 is about 259.0617686962. The cubic root of 67113 is about 40.6383017586.

Adding to 67113 its reverse (31176), we get a palindrome (98289).

Subtracting from 67113 its reverse (31176), we obtain a cube (35937 = 33³).

The spelling of 67113 in words is "sixty-seven thousand, one hundred thirteen".