83671 has 4 divisors (see below), whose sum is σ = 95632. Its totient is φ = 71712.

The previous prime is 83663. The next prime is 83689. The reversal of 83671 is 17638.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 17638 = 2 ⋅8819.

It is a cyclic number.

It is not a de Polignac number, because 83671 - 2³ = 83663 is a prime.

It is a Duffinian number.

83671 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83621) 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, 5970 + ... + 5983.

It is an arithmetic number, because the mean of its divisors is an integer number (23908).

2⁸³⁶⁷¹ is an apocalyptic number.

83671 is a deficient number, since it is larger than the sum of its proper divisors (11961).

83671 is a wasteful number, since it uses less digits than its factorization.

83671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11960.

The product of its digits is 1008, while the sum is 25.

The square root of 83671 is about 289.2593991558. The cubic root of 83671 is about 43.7379395328.

The spelling of 83671 in words is "eighty-three thousand, six hundred seventy-one".