83644 has 12 divisors (see below), whose sum is σ = 159768. Its totient is φ = 38000.

The previous prime is 83641. The next prime is 83653. The reversal of 83644 is 44638.

83644 is nontrivially palindromic in base 13.

It is a plaindrome in base 16.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 907 + ... + 994.

It is an arithmetic number, because the mean of its divisors is an integer number (13314).

2⁸³⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

83644 is a deficient number, since it is larger than the sum of its proper divisors (76124).

83644 is a wasteful number, since it uses less digits than its factorization.

83644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1914 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 83644 is about 289.2127244780. The cubic root of 83644 is about 43.7332343923.

It can be divided in two parts, 83 and 644, that added together give a palindrome (727).

The spelling of 83644 in words is "eighty-three thousand, six hundred forty-four".