38516 has 6 divisors (see below), whose sum is σ = 67410. Its totient is φ = 19256.

The previous prime is 38501. The next prime is 38543. The reversal of 38516 is 61583.

38516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 100 = 196^2 + 10^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38491 and 38500.

It is a congruent number.

It is an unprimeable number.

38516 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 as a sum of consecutive naturals, namely, 4811 + ... + 4818.

It is an arithmetic number, because the mean of its divisors is an integer number (11235).

2³⁸⁵¹⁶ is an apocalyptic number.

It is an amenable number.

38516 is a deficient number, since it is larger than the sum of its proper divisors (28894).

38516 is a wasteful number, since it uses less digits than its factorization.

38516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9631 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 38516 is about 196.2549362437. The cubic root of 38516 is about 33.7712440553.

The spelling of 38516 in words is "thirty-eight thousand, five hundred sixteen".