83643 has 12 divisors (see below), whose sum is σ = 129960. Its totient is φ = 47712.

The previous prime is 83641. The next prime is 83653. The reversal of 83643 is 34638.

It is not a de Polignac number, because 83643 - 2¹ = 83641 is a prime.

83643 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (83641) 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, 138 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (10830).

2⁸³⁶⁴³ is an apocalyptic number.

83643 is a deficient number, since it is larger than the sum of its proper divisors (46317).

83643 is a wasteful number, since it uses less digits than its factorization.

83643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 579 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 83643 is about 289.2109956416. The cubic root of 83643 is about 43.7330601084.

The spelling of 83643 in words is "eighty-three thousand, six hundred forty-three".