32041 has 3 divisors (see below), whose sum is σ = 32221. Its totient is φ = 31862.

The previous prime is 32029. The next prime is 32051. The reversal of 32041 is 14023.

32041 = T₁₇₈ + T₁₇₉.

The square root of 32041 is 179.

It is a perfect power (a square), and thus also a powerful number.

32041 is nontrivially palindromic in base 12.

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, and also an emirpimes, since its reverse is a distinct semiprime: 14023 = 37 ⋅379.

It is not a de Polignac number, because 32041 - 2⁵ = 32009 is a prime.

It is a Duffinian number.

32041 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (32051) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 90 + ... + 268.

2³²⁰⁴¹ is an apocalyptic number.

32041 is the 179-th square number.

32041 is the 90-th centered octagonal number.

It is an amenable number.

32041 is a deficient number, since it is larger than the sum of its proper divisors (180).

32041 is an frugal number, since it uses more digits than its factorization.

32041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The cubic root of 32041 is about 31.7615743033.

Adding to 32041 its reverse (14023), we get a palindrome (46064).

It can be divided in two parts, 320 and 41, that added together give a square (361 = 19²).

The spelling of 32041 in words is "thirty-two thousand, forty-one".