87738 has 16 divisors (see below), whose sum is σ = 200640. Its totient is φ = 25056.

The previous prime is 87721. The next prime is 87739. The reversal of 87738 is 83778.

It is a junction number, because it is equal to n+sod(n) for n = 87699 and 87708.

It is not an unprimeable number, because it can be changed into a prime (87739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (12540).

2⁸⁷⁷³⁸ is an apocalyptic number.

87738 is an abundant number, since it is smaller than the sum of its proper divisors (112902).

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 (100320).

87738 is a wasteful number, since it uses less digits than its factorization.

87738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101.

The product of its digits is 9408, while the sum is 33.

The square root of 87738 is about 296.2060093921. The cubic root of 87738 is about 44.4354152954.

The spelling of 87738 in words is "eighty-seven thousand, seven hundred thirty-eight".