87000961 has 2 divisors, whose sum is σ = 87000962. Its totient is φ = 87000960.

The previous prime is 87000959. The next prime is 87000983. The reversal of 87000961 is 16900078.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54110736 + 32890225 = 7356^2 + 5735^2 .

It is a cyclic number.

It is not a de Polignac number, because 87000961 - 2¹ = 87000959 is a prime.

Together with 87000959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (87001961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43500480 + 43500481.

It is an arithmetic number, because the mean of its divisors is an integer number (43500481).

Almost surely, 2^87000961 is an apocalyptic number.

It is an amenable number.

87000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

87000961 is an equidigital number, since it uses as much as digits as its factorization.

87000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 87000961 is about 9327.4305679539. The cubic root of 87000961 is about 443.1063936717.

The spelling of 87000961 in words is "eighty-seven million, nine hundred sixty-one", and thus it is an aban number.