35216 has 20 divisors (see below), whose sum is σ = 71424. Its totient is φ = 16800.

The previous prime is 35201. The next prime is 35221. The reversal of 35216 is 61253.

35216 = T₃₀ + T₃₁ + ... + T₆₁.

35216 is an admirable number.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 35194 and 35203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461 + ... + 531.

2³⁵²¹⁶ 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 35216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712).

35216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

35216 is a wasteful number, since it uses less digits than its factorization.

35216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 35216 is about 187.6592656918. The cubic root of 35216 is about 32.7778156553. Note that the first 3 decimals are identical.

Adding to 35216 its reverse (61253), we get a palindrome (96469).

The spelling of 35216 in words is "thirty-five thousand, two hundred sixteen".