87930 has 24 divisors (see below), whose sum is σ = 228852. Its totient is φ = 23424.

The previous prime is 87917. The next prime is 87931. The reversal of 87930 is 3978.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 3249 = 291^2 + 57^2 .

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 87894 and 87903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87930.

It is not an unprimeable number, because it can be changed into a prime (87931) 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 11 ways as a sum of consecutive naturals, for example, 399 + ... + 578.

2⁸⁷⁹³⁰ is an apocalyptic number.

87930 is an abundant number, since it is smaller than the sum of its proper divisors (140922).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114426).

87930 is a wasteful number, since it uses less digits than its factorization.

87930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 87930 is about 296.5299310356. The cubic root of 87930 is about 44.4678048490.

It can be divided in two parts, 879 and 30, that added together give a palindrome (909).

The spelling of 87930 in words is "eighty-seven thousand, nine hundred thirty".