87038 has 8 divisors (see below), whose sum is σ = 149232. Its totient is φ = 37296.

The previous prime is 87037. The next prime is 87041. The reversal of 87038 is 83078.

87038 is nontrivially palindromic in base 13.

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

It is a super-2 number, since 2×87038² = 15151226888, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86998 and 87016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87038.

It is not an unprimeable number, because it can be changed into a prime (87037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3095 + ... + 3122.

It is an arithmetic number, because the mean of its divisors is an integer number (18654).

2⁸⁷⁰³⁸ is an apocalyptic number.

87038 is a deficient number, since it is larger than the sum of its proper divisors (62194).

87038 is a wasteful number, since it uses less digits than its factorization.

87038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 87038 is about 295.0220330755. The cubic root of 87038 is about 44.3169266116.

The spelling of 87038 in words is "eighty-seven thousand, thirty-eight".