87319 has 4 divisors (see below), whose sum is σ = 90360. Its totient is φ = 84280.

The previous prime is 87317. The next prime is 87323. The reversal of 87319 is 91378.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 87319 - 2¹ = 87317 is a prime.

It is a super-2 number, since 2×87319² = 15249215522, which contains 22 as substring.

It is a Duffinian number.

87319 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87313) 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, 1477 + ... + 1534.

It is an arithmetic number, because the mean of its divisors is an integer number (22590).

2⁸⁷³¹⁹ is an apocalyptic number.

87319 is a deficient number, since it is larger than the sum of its proper divisors (3041).

87319 is a wasteful number, since it uses less digits than its factorization.

87319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040.

The product of its digits is 1512, while the sum is 28.

The square root of 87319 is about 295.4978849332. The cubic root of 87319 is about 44.3645674080.

Adding to 87319 its product of digits (1512), we get a triangular number (88831 = T₄₂₁).

It can be divided in two parts, 87 and 319, that added together give a triangular number (406 = T₂₈).

The spelling of 87319 in words is "eighty-seven thousand, three hundred nineteen".