87536001 has 32 divisors (see below), whose sum is σ = 137670400. Its totient is φ = 49448448.

The previous prime is 87535997. The next prime is 87536011. The reversal of 87536001 is 10063578.

It is not a de Polignac number, because 87536001 - 2² = 87535997 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87536001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87536011) 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 31 ways as a sum of consecutive naturals, for example, 99375 + ... + 100251.

It is an arithmetic number, because the mean of its divisors is an integer number (4302200).

Almost surely, 2^87536001 is an apocalyptic number.

It is an amenable number.

87536001 is a deficient number, since it is larger than the sum of its proper divisors (50134399).

87536001 is an equidigital number, since it uses as much as digits as its factorization.

87536001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 87536001 is about 9356.0676034325. The cubic root of 87536001 is about 444.0128790599.

Adding to 87536001 its reverse (10063578), we get a palindrome (97599579).

The spelling of 87536001 in words is "eighty-seven million, five hundred thirty-six thousand, one".