87764 has 12 divisors (see below), whose sum is σ = 158004. Its totient is φ = 42624.

The previous prime is 87751. The next prime is 87767. The reversal of 87764 is 46778.

It can be written as a sum of positive squares in 2 ways, for example, as 67600 + 20164 = 260^2 + 142^2 .

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 87764.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87764.

It is not an unprimeable number, because it can be changed into a prime (87767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (13167).

2⁸⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

87764 is a deficient number, since it is larger than the sum of its proper divisors (70240).

87764 is a wasteful number, since it uses less digits than its factorization.

87764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 632 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 87764 is about 296.2498945147. The cubic root of 87764 is about 44.4398041452.

The spelling of 87764 in words is "eighty-seven thousand, seven hundred sixty-four".