59016 has 16 divisors (see below), whose sum is σ = 147600. Its totient is φ = 19664.

The previous prime is 59011. The next prime is 59021. The reversal of 59016 is 61095.

It is an interprime number because it is at equal distance from previous prime (59011) and next prime (59021).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 58983 and 59001.

It is not an unprimeable number, because it can be changed into a prime (59011) by changing a digit.

59016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1206 + ... + 1253.

It is an arithmetic number, because the mean of its divisors is an integer number (9225).

2⁵⁹⁰¹⁶ is an apocalyptic number.

It is an amenable number.

59016 is an abundant number, since it is smaller than the sum of its proper divisors (88584).

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 (73800).

59016 is a wasteful number, since it uses less digits than its factorization.

59016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 59016 is about 242.9320892760. The cubic root of 59016 is about 38.9334829335.

It can be divided in two parts, 590 and 16, that added together give a palindrome (606).

The spelling of 59016 in words is "fifty-nine thousand, sixteen".