67881 has 16 divisors (see below), whose sum is σ = 105408. Its totient is φ = 38720.

The previous prime is 67867. The next prime is 67883. The reversal of 67881 is 18876.

67881 = 55² + 56² + ... + 71².

It is not a de Polignac number, because 67881 - 2⁹ = 67369 is a prime.

It is a super-2 number, since 2×67881² = 9215660322, which contains 22 as substring.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67881.

It is not an unprimeable number, because it can be changed into a prime (67883) 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, 3985 + ... + 4001.

It is an arithmetic number, because the mean of its divisors is an integer number (6588).

2⁶⁷⁸⁸¹ is an apocalyptic number.

It is an amenable number.

67881 is a deficient number, since it is larger than the sum of its proper divisors (37527).

67881 is a wasteful number, since it uses less digits than its factorization.

67881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 31 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 67881 is about 260.5398242112. The cubic root of 67881 is about 40.7927274619.

It can be divided in two parts, 6 and 7881, that added together give a palindrome (7887).

The spelling of 67881 in words is "sixty-seven thousand, eight hundred eighty-one".