87313 has 2 divisors, whose sum is σ = 87314. Its totient is φ = 87312.

The previous prime is 87299. The next prime is 87317. The reversal of 87313 is 31378.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 33489 = 232^2 + 183^2 .

It is a cyclic number.

It is not a de Polignac number, because 87313 - 2⁵ = 87281 is a prime.

It is not a weakly prime, because it can be changed into another prime (87317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43656 + 43657.

It is an arithmetic number, because the mean of its divisors is an integer number (43657).

2⁸⁷³¹³ is an apocalyptic number.

It is an amenable number.

87313 is a deficient number, since it is larger than the sum of its proper divisors (1).

87313 is an equidigital number, since it uses as much as digits as its factorization.

87313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 22.

The square root of 87313 is about 295.4877324019. The cubic root of 87313 is about 44.3635512355.

It can be divided in two parts, 87 and 313, that added together give a square (400 = 20²).

The spelling of 87313 in words is "eighty-seven thousand, three hundred thirteen".