83567 has 8 divisors (see below), whose sum is σ = 93312. Its totient is φ = 74200.

The previous prime is 83563. The next prime is 83579. The reversal of 83567 is 76538.

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

It is a cyclic number.

It is not a de Polignac number, because 83567 - 2² = 83563 is a prime.

It is a Duffinian number.

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 (83561) 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, 728 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (11664).

2⁸³⁵⁶⁷ is an apocalyptic number.

83567 is a deficient number, since it is larger than the sum of its proper divisors (9745).

83567 is a wasteful number, since it uses less digits than its factorization.

83567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189.

The product of its digits is 5040, while the sum is 29.

The square root of 83567 is about 289.0795738201. The cubic root of 83567 is about 43.7198104651.

Subtracting from 83567 its sum of digits (29), we obtain a palindrome (83538).

It can be divided in two parts, 835 and 67, that multiplied together give a triangular number (55945 = T₃₃₄).

The spelling of 83567 in words is "eighty-three thousand, five hundred sixty-seven".