87213 has 8 divisors (see below), whose sum is σ = 132928. Its totient is φ = 49824.

The previous prime is 87211. The next prime is 87221. The reversal of 87213 is 31278.

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

It is not a de Polignac number, because 87213 - 2¹ = 87211 is a prime.

It is a super-2 number, since 2×87213² = 15212214738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 4153 = 87213 / (8 + 7 + 2 + 1 + 3).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 87213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2056 + ... + 2097.

It is an arithmetic number, because the mean of its divisors is an integer number (16616).

2⁸⁷²¹³ is an apocalyptic number.

It is an amenable number.

87213 is a deficient number, since it is larger than the sum of its proper divisors (45715).

87213 is a wasteful number, since it uses less digits than its factorization.

87213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163.

The product of its digits is 336, while the sum is 21.

The square root of 87213 is about 295.3184721618. The cubic root of 87213 is about 44.3466081691.

It can be divided in two parts, 87 and 213, that added together give a triangular number (300 = T₂₄).

The spelling of 87213 in words is "eighty-seven thousand, two hundred thirteen".