87967171681 has 2 divisors, whose sum is σ = 87967171682. Its totient is φ = 87967171680.

The previous prime is 87967171667. The next prime is 87967171729. The reversal of 87967171681 is 18617176978.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71976304656 + 15990867025 = 268284^2 + 126455^2 .

It is a cyclic number.

It is not a de Polignac number, because 87967171681 - 2¹⁵ = 87967138913 is a prime.

It is a super-2 number, since 2×87967171681² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (87967171601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43983585840 + 43983585841.

It is an arithmetic number, because the mean of its divisors is an integer number (43983585841).

Almost surely, 2^87967171681 is an apocalyptic number.

It is an amenable number.

87967171681 is a deficient number, since it is larger than the sum of its proper divisors (1).

87967171681 is an equidigital number, since it uses as much as digits as its factorization.

87967171681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7112448, while the sum is 61.

The spelling of 87967171681 in words is "eighty-seven billion, nine hundred sixty-seven million, one hundred seventy-one thousand, six hundred eighty-one".