83667 has 6 divisors (see below), whose sum is σ = 112228. Its totient is φ = 55444.

The previous prime is 83663. The next prime is 83689. The reversal of 83667 is 76638.

It is not a de Polignac number, because 83667 - 2² = 83663 is a prime.

It is an Ulam number.

It is a Duffinian number.

83667 is a lucky number.

It is a plaindrome in base 15.

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 5 ways as a sum of consecutive naturals, for example, 418 + ... + 584.

2⁸³⁶⁶⁷ is an apocalyptic number.

83667 is a deficient number, since it is larger than the sum of its proper divisors (28561).

83667 is an equidigital number, since it uses as much as digits as its factorization.

83667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 170 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 83667 is about 289.2524848640. The cubic root of 83667 is about 43.7372425388.

It can be divided in two parts, 836 and 67, that added together give a triangular number (903 = T₄₂).

The spelling of 83667 in words is "eighty-three thousand, six hundred sixty-seven".