87101001 has 40 divisors (see below), whose sum is σ = 141205064. Its totient is φ = 53187840.

The previous prime is 87100987. The next prime is 87101017. The reversal of 87101001 is 10010178.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 86769225 = 576^2 + 9315^2 .

It is not a de Polignac number, because 87101001 - 2⁵ = 87100969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87101701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190365 + ... + 190821.

Almost surely, 2^87101001 is an apocalyptic number.

87101001 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

87101001 is a deficient number, since it is larger than the sum of its proper divisors (54104063).

87101001 is a wasteful number, since it uses less digits than its factorization.

87101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 87101001 is about 9332.7917045223. The cubic root of 87101001 is about 443.2761672133.

Adding to 87101001 its reverse (10010178), we get a palindrome (97111179).

The spelling of 87101001 in words is "eighty-seven million, one hundred one thousand, one".