83277216 has 144 divisors (see below), whose sum is σ = 261975168. Its totient is φ = 24883200.

The previous prime is 83277193. The next prime is 83277217. The reversal of 83277216 is 61277238.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83277217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307161 + ... + 307431.

It is an arithmetic number, because the mean of its divisors is an integer number (1819272).

Almost surely, 2^83277216 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 83277216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130987584).

83277216 is an abundant number, since it is smaller than the sum of its proper divisors (178697952).

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

83277216 is a wasteful number, since it uses less digits than its factorization.

83277216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 83277216 is about 9125.6351011861. The cubic root of 83277216 is about 436.6921643393.

The spelling of 83277216 in words is "eighty-three million, two hundred seventy-seven thousand, two hundred sixteen".