83661 has 8 divisors (see below), whose sum is σ = 113280. Its totient is φ = 54912.

The previous prime is 83653. The next prime is 83663. The reversal of 83661 is 16638.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83661 - 2³ = 83653 is a prime.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83661.

It is not an unprimeable number, because it can be changed into a prime (83663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (14160).

2⁸³⁶⁶¹ is an apocalyptic number.

It is an amenable number.

83661 is a deficient number, since it is larger than the sum of its proper divisors (29619).

83661 is a wasteful number, since it uses less digits than its factorization.

83661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its digits is 864, while the sum is 24.

The square root of 83661 is about 289.2421131163. The cubic root of 83661 is about 43.7361970062.

The spelling of 83661 in words is "eighty-three thousand, six hundred sixty-one".