87200091 has 16 divisors (see below), whose sum is σ = 140929920. Its totient is φ = 52848360.

The previous prime is 87200081. The next prime is 87200111. The reversal of 87200091 is 19000278.

It is not a de Polignac number, because 87200091 - 2¹⁰ = 87199067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (87200011) 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 15 ways as a sum of consecutive naturals, for example, 146505 + ... + 147098.

It is an arithmetic number, because the mean of its divisors is an integer number (8808120).

Almost surely, 2^87200091 is an apocalyptic number.

87200091 is a deficient number, since it is larger than the sum of its proper divisors (53729829).

87200091 is a wasteful number, since it uses less digits than its factorization.

87200091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293623 (or 293617 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 87200091 is about 9338.0988964564. The cubic root of 87200091 is about 443.4442004494. Note that the first 3 decimals are identical.

The spelling of 87200091 in words is "eighty-seven million, two hundred thousand, ninety-one".