87971300 has 18 divisors (see below), whose sum is σ = 190897938. Its totient is φ = 35188480.

The previous prime is 87971203. The next prime is 87971309. The reversal of 87971300 is 317978.

It can be written as a sum of positive squares in 3 ways, for example, as 2334784 + 85636516 = 1528^2 + 9254^2 .

It is not an unprimeable number, because it can be changed into a prime (87971309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 439757 + ... + 439956.

It is an arithmetic number, because the mean of its divisors is an integer number (10605441).

Almost surely, 2^87971300 is an apocalyptic number.

It is an amenable number.

87971300 is an abundant number, since it is smaller than the sum of its proper divisors (102926638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87971300 is a wasteful number, since it uses less digits than its factorization.

87971300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879727 (or 879720 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 87971300 is about 9379.3016797627. The cubic root of 87971300 is about 444.7476581375.

The spelling of 87971300 in words is "eighty-seven million, nine hundred seventy-one thousand, three hundred".