17941 has 8 divisors (see below), whose sum is σ = 22464. Its totient is φ = 13920.

The previous prime is 17939. The next prime is 17957. The reversal of 17941 is 14971.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 17941 - 2¹ = 17939 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 193.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2¹⁷⁹⁴¹ is an apocalyptic number.

17941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

17941 is a deficient number, since it is larger than the sum of its proper divisors (4523).

17941 is a wasteful number, since it uses less digits than its factorization.

17941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

The product of its digits is 252, while the sum is 22.

The square root of 17941 is about 133.9440181568. The cubic root of 17941 is about 26.1787485733.

Subtracting from 17941 its product of digits (252), we obtain a square (17689 = 133²).

The spelling of 17941 in words is "seventeen thousand, nine hundred forty-one".