81867 has 8 divisors (see below), whose sum is σ = 113040. Its totient is φ = 52640.

The previous prime is 81853. The next prime is 81869. The reversal of 81867 is 76818.

81867 is nontrivially palindromic in base 11.

81867 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 81867 - 2⁸ = 81611 is a prime.

81867 is an undulating number in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 81867.

It is not an unprimeable number, because it can be changed into a prime (81869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (14130).

2⁸¹⁸⁶⁷ is an apocalyptic number.

81867 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

81867 is a deficient number, since it is larger than the sum of its proper divisors (31173).

81867 is a wasteful number, since it uses less digits than its factorization.

81867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973.

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

The square root of 81867 is about 286.1240989501. The cubic root of 81867 is about 43.4213136904.

The spelling of 81867 in words is "eighty-one thousand, eight hundred sixty-seven".