81407 has 4 divisors (see below), whose sum is σ = 82176. Its totient is φ = 80640.

The previous prime is 81401. The next prime is 81409. The reversal of 81407 is 70418.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 81407 - 2⁶ = 81343 is a prime.

It is a pancake number, because a pancake can be divided into 81407 parts by 403 straight cuts.

It is a Duffinian number.

It is a plaindrome in base 8 and base 16.

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 81407.

It is not an unprimeable number, because it can be changed into a prime (81401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (20544).

2⁸¹⁴⁰⁷ is an apocalyptic number.

81407 is a deficient number, since it is larger than the sum of its proper divisors (769).

81407 is a wasteful number, since it uses less digits than its factorization.

81407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 81407 is about 285.3191195837. The cubic root of 81407 is about 43.3398346590.

The spelling of 81407 in words is "eighty-one thousand, four hundred seven".