17641 has 8 divisors (see below), whose sum is σ = 20160. Its totient is φ = 15312.

The previous prime is 17627. The next prime is 17657. The reversal of 17641 is 14671.

It is a happy number.

17641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 17641 - 2⁵ = 17609 is a prime.

It is a super-2 number, since 2×17641² = 622409762, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 328.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2¹⁷⁶⁴¹ is an apocalyptic number.

It is an amenable number.

17641 is a deficient number, since it is larger than the sum of its proper divisors (2519).

17641 is a wasteful number, since it uses less digits than its factorization.

17641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its digits is 168, while the sum is 19.

The square root of 17641 is about 132.8194262900. The cubic root of 17641 is about 26.0320118521.

The spelling of 17641 in words is "seventeen thousand, six hundred forty-one".