87314130 has 48 divisors (see below), whose sum is σ = 229245120. Its totient is φ = 23055264.

The previous prime is 87314107. The next prime is 87314131. The reversal of 87314130 is 3141378.

It is a junction number, because it is equal to n+sod(n) for n = 87314094 and 87314103.

It is not an unprimeable number, because it can be changed into a prime (87314131) 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 23 ways as a sum of consecutive naturals, for example, 4561 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (4775940).

Almost surely, 2^87314130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114622560).

87314130 is an abundant number, since it is smaller than the sum of its proper divisors (141930990).

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

87314130 is a wasteful number, since it uses less digits than its factorization.

87314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9535 (or 9532 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 87314130 is about 9344.2030157740. The cubic root of 87314130 is about 443.6374261817.

The spelling of 87314130 in words is "eighty-seven million, three hundred fourteen thousand, one hundred thirty".