87582417 has 16 divisors (see below), whose sum is σ = 125973120. Its totient is φ = 53805312.

The previous prime is 87582379. The next prime is 87582427. The reversal of 87582417 is 71428578.

It is not a de Polignac number, because 87582417 - 2⁶ = 87582353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87582427) 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 in 15 ways as a sum of consecutive naturals, for example, 26809 + ... + 29897.

It is an arithmetic number, because the mean of its divisors is an integer number (7873320).

Almost surely, 2^87582417 is an apocalyptic number.

It is an amenable number.

87582417 is a deficient number, since it is larger than the sum of its proper divisors (38390703).

87582417 is a wasteful number, since it uses less digits than its factorization.

87582417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832.

The product of its digits is 125440, while the sum is 42.

The square root of 87582417 is about 9358.5478040132. The cubic root of 87582417 is about 444.0913445291.

It can be divided in two parts, 8758 and 2417, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 87582417 in words is "eighty-seven million, five hundred eighty-two thousand, four hundred seventeen".