83416 has 8 divisors (see below), whose sum is σ = 156420. Its totient is φ = 41704.

The previous prime is 83407. The next prime is 83417. The reversal of 83416 is 61438.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5206 + ... + 5221.

2⁸³⁴¹⁶ is an apocalyptic number.

It is an amenable number.

83416 is a deficient number, since it is larger than the sum of its proper divisors (73004).

83416 is a wasteful number, since it uses less digits than its factorization.

83416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10433 (or 10429 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 83416 is about 288.8182819698. The cubic root of 83416 is about 43.6934616606.

Adding to 83416 its sum of digits (22), we get a palindrome (83438).

The spelling of 83416 in words is "eighty-three thousand, four hundred sixteen".