33616116 has 18 divisors (see below), whose sum is σ = 84974162. Its totient is φ = 11205360.

The previous prime is 33616109. The next prime is 33616127. The reversal of 33616116 is 61161633.

It is a happy number.

33616116 is a `hidden beast` number, since 33 + 616 + 1 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33593616 + 22500 = 5796^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×33616116² = 2260086509850912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 33616116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 466855 + ... + 466926.

Almost surely, 2^33616116 is an apocalyptic number.

33616116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33616116 is an abundant number, since it is smaller than the sum of its proper divisors (51358046).

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

33616116 is a wasteful number, since it uses less digits than its factorization.

33616116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933791 (or 933786 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 33616116 is about 5797.9406688927. The cubic root of 33616116 is about 322.7373122603.

Adding to 33616116 its reverse (61161633), we get a palindrome (94777749).

The spelling of 33616116 in words is "thirty-three million, six hundred sixteen thousand, one hundred sixteen".