67541 has 8 divisors (see below), whose sum is σ = 74520. Its totient is φ = 60928.

The previous prime is 67537. The next prime is 67547. The reversal of 67541 is 14576.

It can be written as a sum of positive squares in 4 ways, for example, as 21316 + 46225 = 146^2 + 215^2 .

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

It is not a de Polignac number, because 67541 - 2² = 67537 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67547) 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, 425 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (9315).

2⁶⁷⁵⁴¹ is an apocalyptic number.

It is an amenable number.

67541 is a deficient number, since it is larger than the sum of its proper divisors (6979).

67541 is a wasteful number, since it uses less digits than its factorization.

67541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its digits is 840, while the sum is 23.

The square root of 67541 is about 259.8865136940. The cubic root of 67541 is about 40.7245063672.

The spelling of 67541 in words is "sixty-seven thousand, five hundred forty-one".