32391 has 12 divisors (see below), whose sum is σ = 48360. Its totient is φ = 20880.

The previous prime is 32381. The next prime is 32401. The reversal of 32391 is 19323.

It is an interprime number because it is at equal distance from previous prime (32381) and next prime (32401).

It is not a de Polignac number, because 32391 - 2⁵ = 32359 is a prime.

32391 is a lucky number.

It is a plaindrome in base 11.

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 32391.

It is not an unprimeable number, because it can be changed into a prime (32321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (4030).

2³²³⁹¹ is an apocalyptic number.

32391 is a deficient number, since it is larger than the sum of its proper divisors (15969).

32391 is a wasteful number, since it uses less digits than its factorization.

32391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 32391 is about 179.9749982636. The cubic root of 32391 is about 31.8768049728.

It can be divided in two parts, 3239 and 1, that added together give a triangular number (3240 = T₈₀).

The spelling of 32391 in words is "thirty-two thousand, three hundred ninety-one".