87561201 has 32 divisors (see below), whose sum is σ = 147051520. Its totient is φ = 45105984.

The previous prime is 87561197. The next prime is 87561211. The reversal of 87561201 is 10216578.

It is not a de Polignac number, because 87561201 - 2² = 87561197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87561211) 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, 8010 + ... + 15468.

It is an arithmetic number, because the mean of its divisors is an integer number (4595360).

Almost surely, 2^87561201 is an apocalyptic number.

It is an amenable number.

87561201 is a deficient number, since it is larger than the sum of its proper divisors (59490319).

87561201 is a wasteful number, since it uses less digits than its factorization.

87561201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7525.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 87561201 is about 9357.4142261631. The cubic root of 87561201 is about 444.0554826778.

Adding to 87561201 its reverse (10216578), we get a palindrome (97777779).

The spelling of 87561201 in words is "eighty-seven million, five hundred sixty-one thousand, two hundred one".