33116 has 12 divisors (see below), whose sum is σ = 61488. Its totient is φ = 15552.

The previous prime is 33113. The next prime is 33119. The reversal of 33116 is 61133.

Added to its reverse (61133) it gives a square (94249 = 307²).

It is an interprime number because it is at equal distance from previous prime (33113) and next prime (33119).

It is a self number, because there is not a number n which added to its sum of digits gives 33116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33113) 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, 176 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (5124).

2³³¹¹⁶ is an apocalyptic number.

It is an amenable number.

33116 is a deficient number, since it is larger than the sum of its proper divisors (28372).

33116 is a wasteful number, since it uses less digits than its factorization.

33116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its digits is 54, while the sum is 14.

The square root of 33116 is about 181.9780206508. The cubic root of 33116 is about 32.1128825794.

Adding to 33116 its reverse (61133), we get a palindrome (94249).

It can be divided in two parts, 33 and 116, that multiplied together give a triangular number (3828 = T₈₇).

The spelling of 33116 in words is "thirty-three thousand, one hundred sixteen".