67631 has 2 divisors, whose sum is σ = 67632. Its totient is φ = 67630.

The previous prime is 67619. The next prime is 67651. The reversal of 67631 is 13676.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 67631 - 2⁶ = 67567 is a prime.

It is a super-2 number, since 2×67631² = 9147904322, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 67597 and 67606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33815 + 33816.

It is an arithmetic number, because the mean of its divisors is an integer number (33816).

2⁶⁷⁶³¹ is an apocalyptic number.

67631 is a deficient number, since it is larger than the sum of its proper divisors (1).

67631 is an equidigital number, since it uses as much as digits as its factorization.

67631 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 67631 is about 260.0596085516. The cubic root of 67631 is about 40.7425871319.

It can be divided in two parts, 676 and 31, that added together give a palindrome (707).

The spelling of 67631 in words is "sixty-seven thousand, six hundred thirty-one".