80567 has 2 divisors, whose sum is σ = 80568. Its totient is φ = 80566.

The previous prime is 80557. The next prime is 80599. The reversal of 80567 is 76508.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 80567 - 2¹² = 76471 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (80527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40283 + 40284.

It is an arithmetic number, because the mean of its divisors is an integer number (40284).

2⁸⁰⁵⁶⁷ is an apocalyptic number.

80567 is a deficient number, since it is larger than the sum of its proper divisors (1).

80567 is an equidigital number, since it uses as much as digits as its factorization.

80567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 80567 is about 283.8432666103. The cubic root of 80567 is about 43.1902512867.

Subtracting from 80567 its product of nonzero digits (1680), we obtain a palindrome (78887).

It can be divided in two parts, 805 and 67, that multiplied together give a palindrome (53935).

The spelling of 80567 in words is "eighty thousand, five hundred sixty-seven".