87814 has 12 divisors (see below), whose sum is σ = 139356. Its totient is φ = 41492.

The previous prime is 87811. The next prime is 87833. The reversal of 87814 is 41878.

It is a super-2 number, since 2×87814² = 15422597192, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1017 + ... + 1099.

It is an arithmetic number, because the mean of its divisors is an integer number (11613).

2⁸⁷⁸¹⁴ is an apocalyptic number.

87814 is a deficient number, since it is larger than the sum of its proper divisors (51542).

87814 is a wasteful number, since it uses less digits than its factorization.

87814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 87814 is about 296.3342707147. The cubic root of 87814 is about 44.4482418052.

The spelling of 87814 in words is "eighty-seven thousand, eight hundred fourteen".