87591041 has 8 divisors (see below), whose sum is σ = 88792200. Its totient is φ = 86394880.

The previous prime is 87591029. The next prime is 87591073. The reversal of 87591041 is 14019578.

It can be written as a sum of positive squares in 4 ways, for example, as 1008016 + 86583025 = 1004^2 + 9305^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 87591041 - 2¹⁰ = 87590017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87590992 and 87591010.

It is not an unprimeable number, because it can be changed into a prime (87591241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45425 + ... + 47313.

It is an arithmetic number, because the mean of its divisors is an integer number (11099025).

Almost surely, 2^87591041 is an apocalyptic number.

It is an amenable number.

87591041 is a deficient number, since it is larger than the sum of its proper divisors (1201159).

87591041 is a wasteful number, since it uses less digits than its factorization.

87591041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499.

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 87591041 is about 9359.0085479179. The cubic root of 87591041 is about 444.1059202023.

It can be divided in two parts, 8759 and 1041, that multiplied together give a palindrome (9118119).

The spelling of 87591041 in words is "eighty-seven million, five hundred ninety-one thousand, forty-one".