83967 has 8 divisors (see below), whose sum is σ = 120624. Its totient is φ = 51648.

The previous prime is 83939. The next prime is 83969. The reversal of 83967 is 76938.

It is a happy number.

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

It is not a de Polignac number, because 83967 - 2⁶ = 83903 is a prime.

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 (83969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (15078).

2⁸³⁹⁶⁷ is an apocalyptic number.

83967 is a deficient number, since it is larger than the sum of its proper divisors (36657).

83967 is a wasteful number, since it uses less digits than its factorization.

83967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169.

The product of its digits is 9072, while the sum is 33.

The square root of 83967 is about 289.7705989227. The cubic root of 83967 is about 43.7894555631.

Adding to 83967 its product of digits (9072), we get a palindrome (93039).

The spelling of 83967 in words is "eighty-three thousand, nine hundred sixty-seven".