78591 has 16 divisors (see below), whose sum is σ = 117504. Its totient is φ = 46464.

The previous prime is 78583. The next prime is 78593. The reversal of 78591 is 19587.

78591 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 78591 - 2³ = 78583 is a prime.

78591 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78593) 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, 1140 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (7344).

2⁷⁸⁵⁹¹ is an apocalyptic number.

78591 is a deficient number, since it is larger than the sum of its proper divisors (38913).

78591 is a wasteful number, since it uses less digits than its factorization.

78591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

The product of its digits is 2520, while the sum is 30.

The square root of 78591 is about 280.3408639496. The cubic root of 78591 is about 42.8342274320.

The spelling of 78591 in words is "seventy-eight thousand, five hundred ninety-one".