87654321 has 12 divisors (see below), whose sum is σ = 126701172. Its totient is φ = 58394976.

The previous prime is 87654319. The next prime is 87654337. The reversal of 87654321 is 12345678.

87654321 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 77000625 = 3264^2 + 8775^2 .

It is not a de Polignac number, because 87654321 - 2¹ = 87654319 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a straight-line number, since its digits are in arithmetic progression.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (87654361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15535 + ... + 20411.

It is an arithmetic number, because the mean of its divisors is an integer number (10558431).

Almost surely, 2^87654321 is an apocalyptic number.

It is an amenable number.

87654321 is a deficient number, since it is larger than the sum of its proper divisors (39046851).

87654321 is a wasteful number, since it uses less digits than its factorization.

87654321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6877 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 87654321 is about 9362.3886375219. The cubic root of 87654321 is about 444.2128423158.

Adding to 87654321 its reverse (12345678), we get a palindrome (99999999).

The spelling of 87654321 in words is "eighty-seven million, six hundred fifty-four thousand, three hundred twenty-one".