82819332 has 36 divisors (see below), whose sum is σ = 209907516. Its totient is φ = 27532800.

The previous prime is 82819277. The next prime is 82819339. The reversal of 82819332 is 23391828.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41139396 + 41679936 = 6414^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (82819339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11568 + ... + 17304.

Almost surely, 2^82819332 is an apocalyptic number.

It is an amenable number.

82819332 is an abundant number, since it is smaller than the sum of its proper divisors (127088184).

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

82819332 is a wasteful number, since it uses less digits than its factorization.

82819332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 6143 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 82819332 is about 9100.5127328080. The cubic root of 82819332 is about 435.8903365865.

The spelling of 82819332 in words is "eighty-two million, eight hundred nineteen thousand, three hundred thirty-two".