73643 has 2 divisors, whose sum is σ = 73644. Its totient is φ = 73642.

The previous prime is 73637. The next prime is 73651. The reversal of 73643 is 34637.

It is a weak prime.

73643 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 73643 - 2⁸ = 73387 is a prime.

It is a d-powerful number, because it can be written as 7 + 3⁵ + 6⁴ + 4⁸ + 3⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73643.

It is not a weakly prime, because it can be changed into another prime (73613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36821 + 36822.

It is an arithmetic number, because the mean of its divisors is an integer number (36822).

2⁷³⁶⁴³ is an apocalyptic number.

73643 is a deficient number, since it is larger than the sum of its proper divisors (1).

73643 is an equidigital number, since it uses as much as digits as its factorization.

73643 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 23.

The square root of 73643 is about 271.3724378046. The cubic root of 73643 is about 41.9157418878.

The spelling of 73643 in words is "seventy-three thousand, six hundred forty-three".