67591 has 4 divisors (see below), whose sum is σ = 68112. Its totient is φ = 67072.

The previous prime is 67589. The next prime is 67601. The reversal of 67591 is 19576.

It is a happy 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 is a cyclic number.

It is not a de Polignac number, because 67591 - 2¹ = 67589 is a prime.

It is a Duffinian number.

67591 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (17028).

2⁶⁷⁵⁹¹ is an apocalyptic number.

67591 is a deficient number, since it is larger than the sum of its proper divisors (521).

67591 is a wasteful number, since it uses less digits than its factorization.

67591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520.

The product of its digits is 1890, while the sum is 28.

The square root of 67591 is about 259.9826917316. The cubic root of 67591 is about 40.7345532181.

It can be divided in two parts, 675 and 91, that multiplied together give a triangular number (61425 = T₃₅₀).

The spelling of 67591 in words is "sixty-seven thousand, five hundred ninety-one".