39116 has 24 divisors (see below), whose sum is σ = 86016. Its totient is φ = 15120.

The previous prime is 39113. The next prime is 39119. The reversal of 39116 is 61193.

It is an interprime number because it is at equal distance from previous prime (39113) and next prime (39119).

It is a super-2 number, since 2×39116² = 3060122912, which contains 22 as substring.

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 39116.

It is not an unprimeable number, because it can be changed into a prime (39113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (3584).

2³⁹¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43008).

39116 is an abundant number, since it is smaller than the sum of its proper divisors (46900).

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

39116 is a wasteful number, since it uses less digits than its factorization.

39116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its digits is 162, while the sum is 20.

The square root of 39116 is about 197.7776529338. Note that the first 3 decimals coincide. The cubic root of 39116 is about 33.9457034175.

It can be divided in two parts, 3 and 9116, that added together give a palindrome (9119).

The spelling of 39116 in words is "thirty-nine thousand, one hundred sixteen".