87671 has 2 divisors, whose sum is σ = 87672. Its totient is φ = 87670.

The previous prime is 87649. The next prime is 87679. The reversal of 87671 is 17678.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 87671 - 2¹⁴ = 71287 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87679) 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, 43835 + 43836.

It is an arithmetic number, because the mean of its divisors is an integer number (43836).

2⁸⁷⁶⁷¹ is an apocalyptic number.

87671 is a deficient number, since it is larger than the sum of its proper divisors (1).

87671 is an equidigital number, since it uses as much as digits as its factorization.

87671 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2352, while the sum is 29.

The square root of 87671 is about 296.0928908299. The cubic root of 87671 is about 44.4241015698.

The spelling of 87671 in words is "eighty-seven thousand, six hundred seventy-one".