87258567 has 16 divisors (see below), whose sum is σ = 129875328. Its totient is φ = 51653280.

The previous prime is 87258557. The next prime is 87258641. The reversal of 87258567 is 76585278.

It is not a de Polignac number, because 87258567 - 2¹⁰ = 87257543 is a prime.

It is a super-2 number, since 2×87258567² = 15228115029786978, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87258547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29328 + ... + 32165.

It is an arithmetic number, because the mean of its divisors is an integer number (8117208).

Almost surely, 2^87258567 is an apocalyptic number.

87258567 is a deficient number, since it is larger than the sum of its proper divisors (42616761).

87258567 is a wasteful number, since it uses less digits than its factorization.

87258567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61550.

The product of its digits is 940800, while the sum is 48.

The square root of 87258567 is about 9341.2294158746. The cubic root of 87258567 is about 443.5433022147.

Subtracting from 87258567 its reverse (76585278), we obtain a square (10673289 = 3267²).

The spelling of 87258567 in words is "eighty-seven million, two hundred fifty-eight thousand, five hundred sixty-seven".