67633 has 4 divisors (see below), whose sum is σ = 69120. Its totient is φ = 66148.

The previous prime is 67631. The next prime is 67651. The reversal of 67633 is 33676.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 67633 - 2¹ = 67631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67598 and 67607.

It is not an unprimeable number, because it can be changed into a prime (67631) 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, 673 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2⁶⁷⁶³³ is an apocalyptic number.

It is an amenable number.

67633 is a deficient number, since it is larger than the sum of its proper divisors (1487).

67633 is a wasteful number, since it uses less digits than its factorization.

67633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486.

The product of its digits is 2268, while the sum is 25.

The square root of 67633 is about 260.0634537954. The cubic root of 67633 is about 40.7429887444.

The spelling of 67633 in words is "sixty-seven thousand, six hundred thirty-three".