87965 has 8 divisors (see below), whose sum is σ = 107448. Its totient is φ = 69120.

The previous prime is 87961. The next prime is 87973. The reversal of 87965 is 56978.

It can be written as a sum of positive squares in 4 ways, for example, as 19321 + 68644 = 139^2 + 262^2 .

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

It is not a de Polignac number, because 87965 - 2² = 87961 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

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, 245 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (13431).

2⁸⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

87965 is a deficient number, since it is larger than the sum of its proper divisors (19483).

87965 is a wasteful number, since it uses less digits than its factorization.

87965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its digits is 15120, while the sum is 35.

The square root of 87965 is about 296.5889411290. The cubic root of 87965 is about 44.4737041125.

The spelling of 87965 in words is "eighty-seven thousand, nine hundred sixty-five".