32841 has 12 divisors (see below), whose sum is σ = 49140. Its totient is φ = 21120.

The previous prime is 32839. The next prime is 32843. The reversal of 32841 is 14823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32839) and next prime (32843).

It can be written as a sum of positive squares in 2 ways, for example, as 3600 + 29241 = 60^2 + 171^2 .

It is not a de Polignac number, because 32841 - 2¹ = 32839 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32841.

It is not an unprimeable number, because it can be changed into a prime (32843) 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, 325 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2³²⁸⁴¹ is an apocalyptic number.

It is an amenable number.

32841 is a deficient number, since it is larger than the sum of its proper divisors (16299).

32841 is a wasteful number, since it uses less digits than its factorization.

32841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 133 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 32841 is about 181.2208597265. The cubic root of 32841 is about 32.0237453964.

Subtracting from 32841 its sum of digits (18), we obtain a palindrome (32823).

Adding to 32841 its product of digits (192), we get a palindrome (33033).

The spelling of 32841 in words is "thirty-two thousand, eight hundred forty-one".