87582961 has 4 divisors (see below), whose sum is σ = 87808500. Its totient is φ = 87357424.

The previous prime is 87582953. The next prime is 87583009. The reversal of 87582961 is 16928578.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34000561 + 53582400 = 5831^2 + 7320^2 .

It is a cyclic number.

It is not a de Polignac number, because 87582961 - 2³ = 87582953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87582941) 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 3 ways as a sum of consecutive naturals, for example, 112186 + ... + 112963.

It is an arithmetic number, because the mean of its divisors is an integer number (21952125).

Almost surely, 2^87582961 is an apocalyptic number.

It is an amenable number.

87582961 is a deficient number, since it is larger than the sum of its proper divisors (225539).

87582961 is a wasteful number, since it uses less digits than its factorization.

87582961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225538.

The product of its digits is 241920, while the sum is 46.

The square root of 87582961 is about 9358.5768683064. The cubic root of 87582961 is about 444.0922639876.

The spelling of 87582961 in words is "eighty-seven million, five hundred eighty-two thousand, nine hundred sixty-one".