67584841 has 3 divisors (see below), whose sum is σ = 67593063. Its totient is φ = 67576620.

The previous prime is 67584817. The next prime is 67584859. The reversal of 67584841 is 14848576.

The square root of 67584841 is 8221.

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

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.

It can be written as a sum of positive squares in only one way, i.e., 63664441 + 3920400 = 7979^2 + 1980^2 .

It is not a de Polignac number, because 67584841 - 2¹⁵ = 67552073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67584871) 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, 4111 + ... + 12331.

It is an arithmetic number, because the mean of its divisors is an integer number (22531021).

Almost surely, 2^67584841 is an apocalyptic number.

67584841 is the 8221-st square number.

67584841 is the 4111-st centered octagonal number.

It is an amenable number.

67584841 is a deficient number, since it is larger than the sum of its proper divisors (8222).

67584841 is an frugal number, since it uses more digits than its factorization.

67584841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16442 (or 8221 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The cubic root of 67584841 is about 407.3331591460. Note that the first 3 decimals are identical.

The spelling of 67584841 in words is "sixty-seven million, five hundred eighty-four thousand, eight hundred forty-one".