83282364 has 72 divisors (see below), whose sum is σ = 237367760. Its totient is φ = 25233120.

The previous prime is 83282363. The next prime is 83282383. The reversal of 83282364 is 46328238.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (83282363) 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, 9882 + ... + 16254.

Almost surely, 2^83282364 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 83282364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118683880).

83282364 is an abundant number, since it is smaller than the sum of its proper divisors (154085396).

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

83282364 is a wasteful number, since it uses less digits than its factorization.

83282364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6389 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 83282364 is about 9125.9171593873. The cubic root of 83282364 is about 436.7011625786.

The spelling of 83282364 in words is "eighty-three million, two hundred eighty-two thousand, three hundred sixty-four".