87438 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 25056.

The previous prime is 87433. The next prime is 87443. The reversal of 87438 is 83478.

It is an interprime number because it is at equal distance from previous prime (87433) and next prime (87443).

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

Its product of digits (5376) is a multiple of the sum of its prime divisors (96).

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁸⁷⁴³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

87438 is an abundant number, since it is smaller than the sum of its proper divisors (114162).

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

87438 is a wasteful number, since it uses less digits than its factorization.

87438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its digits is 5376, while the sum is 30.

The square root of 87438 is about 295.6991714564. The cubic root of 87438 is about 44.3847118861.

It can be divided in two parts, 87 and 438, that added together give a palindrome (525).

The spelling of 87438 in words is "eighty-seven thousand, four hundred thirty-eight".