81459 has 16 divisors (see below), whose sum is σ = 138240. Its totient is φ = 46440.

The previous prime is 81457. The next prime is 81463. The reversal of 81459 is 95418.

It is not a de Polignac number, because 81459 - 2¹ = 81457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

81459 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 81459.

It is not an unprimeable number, because it can be changed into a prime (81457) 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, 27 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2⁸¹⁴⁵⁹ is an apocalyptic number.

81459 is a deficient number, since it is larger than the sum of its proper divisors (56781).

81459 is a wasteful number, since it uses less digits than its factorization.

81459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 81459 is about 285.4102310710. The cubic root of 81459 is about 43.3490606949.

The spelling of 81459 in words is "eighty-one thousand, four hundred fifty-nine".