87414 has 16 divisors (see below), whose sum is σ = 185328. Its totient is φ = 27392.

The previous prime is 87407. The next prime is 87421. The reversal of 87414 is 41478.

It is an interprime number because it is at equal distance from previous prime (87407) and next prime (87421).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

87414 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (11583).

2⁸⁷⁴¹⁴ is an apocalyptic number.

87414 is an abundant number, since it is smaller than the sum of its proper divisors (97914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92664).

87414 is a wasteful number, since it uses less digits than its factorization.

87414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879.

The product of its digits is 896, while the sum is 24.

The square root of 87414 is about 295.6585868870. The cubic root of 87414 is about 44.3806506062.

It can be divided in two parts, 874 and 14, that added together give a palindrome (888).

The spelling of 87414 in words is "eighty-seven thousand, four hundred fourteen".