87682617 has 48 divisors (see below), whose sum is σ = 149205888. Its totient is φ = 49021440.

The previous prime is 87682607. The next prime is 87682619. The reversal of 87682617 is 71628678.

It is not a de Polignac number, because 87682617 - 2¹⁶ = 87617081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87682619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88708 + ... + 89690.

It is an arithmetic number, because the mean of its divisors is an integer number (3108456).

Almost surely, 2^87682617 is an apocalyptic number.

It is an amenable number.

87682617 is a deficient number, since it is larger than the sum of its proper divisors (61523271).

87682617 is a wasteful number, since it uses less digits than its factorization.

87682617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1067 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 87682617 is about 9363.8996684074. The cubic root of 87682617 is about 444.2606364772.

The spelling of 87682617 in words is "eighty-seven million, six hundred eighty-two thousand, six hundred seventeen".