87217641 has 40 divisors (see below), whose sum is σ = 150473664. Its totient is φ = 49312800.

The previous prime is 87217639. The next prime is 87217649. The reversal of 87217641 is 14671278.

87217641 is a `hidden beast` number, since 8 + 7 + 2 + 1 + 7 + 641 = 666.

It is not a de Polignac number, because 87217641 - 2¹ = 87217639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 87217596 and 87217605.

It is not an unprimeable number, because it can be changed into a prime (87217649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56506 + ... + 58028.

Almost surely, 2^87217641 is an apocalyptic number.

87217641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

87217641 is a deficient number, since it is larger than the sum of its proper divisors (63256023).

87217641 is a wasteful number, since it uses less digits than its factorization.

87217641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1634 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 87217641 is about 9339.0385479449. The cubic root of 87217641 is about 443.4739478330.

The spelling of 87217641 in words is "eighty-seven million, two hundred seventeen thousand, six hundred forty-one".