67311 has 12 divisors (see below), whose sum is σ = 101192. Its totient is φ = 44712.

The previous prime is 67307. The next prime is 67339. The reversal of 67311 is 11376.

It is not a de Polignac number, because 67311 - 2² = 67307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67311.

It is not an unprimeable number, because it can be changed into a prime (67391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105 + ... + 381.

2⁶⁷³¹¹ is an apocalyptic number.

67311 is a deficient number, since it is larger than the sum of its proper divisors (33881).

67311 is an equidigital number, since it uses as much as digits as its factorization.

67311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 67311 is about 259.4436354972. The cubic root of 67311 is about 40.6782268786.

Adding to 67311 its reverse (11376), we get a palindrome (78687).

It can be divided in two parts, 67 and 311, that added together give a triangular number (378 = T₂₇).

The spelling of 67311 in words is "sixty-seven thousand, three hundred eleven".