68643 has 12 divisors (see below), whose sum is σ = 102960. Its totient is φ = 44016.

The previous prime is 68639. The next prime is 68659. The reversal of 68643 is 34686.

It is a Cunningham number, because it is equal to 262²-1.

It is not a de Polignac number, because 68643 - 2² = 68639 is a prime.

It is a super-2 number, since 2×68643² = 9423722898, which contains 22 as substring.

It is a d-powerful number, because it can be written as 6⁴ + 8³ + 6⁴ + 4⁸ + 3 .

68643 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (68633) 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, 130 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2⁶⁸⁶⁴³ is an apocalyptic number.

68643 is a deficient number, since it is larger than the sum of its proper divisors (34317).

68643 is a wasteful number, since it uses less digits than its factorization.

68643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 68643 is about 261.9980915961. The cubic root of 68643 is about 40.9447997976.

It can be divided in two parts, 686 and 43, that added together give a 6-th power (729 = 3⁶).

The spelling of 68643 in words is "sixty-eight thousand, six hundred forty-three".