871993 has 2 divisors, whose sum is σ = 871994. Its totient is φ = 871992.

The previous prime is 871987. The next prime is 872017. The reversal of 871993 is 399178.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 478864 + 393129 = 692^2 + 627^2 .

It is a cyclic number.

It is not a de Polignac number, because 871993 - 2¹³ = 863801 is a prime.

It is an Ulam number.

871993 is a lucky number.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (871963) 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, 435996 + 435997.

It is an arithmetic number, because the mean of its divisors is an integer number (435997).

2⁸⁷¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

871993 is a deficient number, since it is larger than the sum of its proper divisors (1).

871993 is an equidigital number, since it uses as much as digits as its factorization.

871993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 37.

The square root of 871993 is about 933.8056542986. The cubic root of 871993 is about 95.5368679779.

It can be divided in two parts, 87 and 1993, that added together give a triangular number (2080 = T₆₄).

The spelling of 871993 in words is "eight hundred seventy-one thousand, nine hundred ninety-three".