80627 has 2 divisors, whose sum is σ = 80628. Its totient is φ = 80626.

The previous prime is 80621. The next prime is 80629. The reversal of 80627 is 72608.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 80627 - 2⁴ = 80611 is a prime.

Together with 80629, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80627.

It is not a weakly prime, because it can be changed into another prime (80621) 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, 40313 + 40314.

It is an arithmetic number, because the mean of its divisors is an integer number (40314).

2⁸⁰⁶²⁷ is an apocalyptic number.

80627 is a deficient number, since it is larger than the sum of its proper divisors (1).

80627 is an equidigital number, since it uses as much as digits as its factorization.

80627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 80627 is about 283.9489390718. The cubic root of 80627 is about 43.2009702000.

It can be divided in two parts, 80 and 627, that added together give a palindrome (707).

The spelling of 80627 in words is "eighty thousand, six hundred twenty-seven".