33416 has 8 divisors (see below), whose sum is σ = 62670. Its totient is φ = 16704.

The previous prime is 33413. The next prime is 33427. The reversal of 33416 is 61433.

33416 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 21316 + 12100 = 146^2 + 110^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×33416² = 2233258112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33394 and 33403.

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 33416.

It is not an unprimeable number, because it can be changed into a prime (33413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2081 + ... + 2096.

2³³⁴¹⁶ is an apocalyptic number.

It is an amenable number.

33416 is a deficient number, since it is larger than the sum of its proper divisors (29254).

33416 is a wasteful number, since it uses less digits than its factorization.

33416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4179 counting only the distinct ones).

The product of its digits is 216, while the sum is 17.

The square root of 33416 is about 182.8004376362. The cubic root of 33416 is about 32.2095621203.

Adding to 33416 its sum of digits (17), we get a palindrome (33433).

Adding to 33416 its reverse (61433), we get a palindrome (94849).

The spelling of 33416 in words is "thirty-three thousand, four hundred sixteen".