86938 has 8 divisors (see below), whose sum is σ = 138132. Its totient is φ = 40896.

The previous prime is 86929. The next prime is 86939. The reversal of 86938 is 83968.

It can be written as a sum of positive squares in 2 ways, for example, as 85849 + 1089 = 293^2 + 33^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (34), and also a Moran number because the ratio is a prime number: 2557 = 86938 / (8 + 6 + 9 + 3 + 8).

It is not an unprimeable number, because it can be changed into a prime (86939) 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, 1245 + ... + 1312.

2⁸⁶⁹³⁸ is an apocalyptic number.

86938 is a deficient number, since it is larger than the sum of its proper divisors (51194).

86938 is a wasteful number, since it uses less digits than its factorization.

86938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576.

The product of its digits is 10368, while the sum is 34.

The square root of 86938 is about 294.8525055006. The cubic root of 86938 is about 44.2999478553.

It can be divided in two parts, 86 and 938, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 86938 in words is "eighty-six thousand, nine hundred thirty-eight".