87314 has 8 divisors (see below), whose sum is σ = 132300. Its totient is φ = 43216.

The previous prime is 87313. The next prime is 87317. The reversal of 87314 is 41378.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87025 + 289 = 295^2 + 17^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 87314.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87314.

It is not an unprimeable number, because it can be changed into a prime (87313) 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 in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 444.

2⁸⁷³¹⁴ is an apocalyptic number.

87314 is a deficient number, since it is larger than the sum of its proper divisors (44986).

87314 is a wasteful number, since it uses less digits than its factorization.

87314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its digits is 672, while the sum is 23.

The square root of 87314 is about 295.4894245147. The cubic root of 87314 is about 44.3637206008.

The spelling of 87314 in words is "eighty-seven thousand, three hundred fourteen".