67641 has 8 divisors (see below), whose sum is σ = 103104. Its totient is φ = 38640.

The previous prime is 67631. The next prime is 67651. The reversal of 67641 is 14676.

It is an interprime number because it is at equal distance from previous prime (67631) and next prime (67651).

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

It is not a de Polignac number, because 67641 - 2⁶ = 67577 is a prime.

It is a Curzon number.

67641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (67601) 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, 1590 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (12888).

2⁶⁷⁶⁴¹ is an apocalyptic number.

It is an amenable number.

67641 is a deficient number, since it is larger than the sum of its proper divisors (35463).

67641 is a wasteful number, since it uses less digits than its factorization.

67641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231.

The product of its digits is 1008, while the sum is 24.

The square root of 67641 is about 260.0788342022. The cubic root of 67641 is about 40.7445951154.

It can be divided in two parts, 676 and 41, that added together give a palindrome (717).

The spelling of 67641 in words is "sixty-seven thousand, six hundred forty-one".