87963 has 8 divisors (see below), whose sum is σ = 118800. Its totient is φ = 57888.

The previous prime is 87961. The next prime is 87973. The reversal of 87963 is 36978.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 87963 - 2¹ = 87961 is a prime.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (87961) 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 7 ways as a sum of consecutive naturals, for example, 193 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2⁸⁷⁹⁶³ is an apocalyptic number.

87963 is a deficient number, since it is larger than the sum of its proper divisors (30837).

87963 is a wasteful number, since it uses less digits than its factorization.

87963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381.

The product of its digits is 9072, while the sum is 33.

The square root of 87963 is about 296.5855694399. The cubic root of 87963 is about 44.4733670539.

The spelling of 87963 in words is "eighty-seven thousand, nine hundred sixty-three".