83005312 has 64 divisors (see below), whose sum is σ = 180527760. Its totient is φ = 37785600.

The previous prime is 83005309. The next prime is 83005313. The reversal of 83005312 is 21350038.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83005313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137812 + ... + 138412.

Almost surely, 2^83005312 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 83005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90263880).

83005312 is an abundant number, since it is smaller than the sum of its proper divisors (97522448).

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

83005312 is a wasteful number, since it uses less digits than its factorization.

83005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 83005312 is about 9110.7251083544. The cubic root of 83005312 is about 436.2163726977.

It can be divided in two parts, 8300 and 5312, that multiplied together give a square (44089600 = 6640²).

The spelling of 83005312 in words is "eighty-three million, five thousand, three hundred twelve".