82302164 has 48 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 34983648.

The previous prime is 82302133. The next prime is 82302169. The reversal of 82302164 is 46120328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82302169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305822 + ... + 306090.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^82302164 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 82302164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

82302164 is an abundant number, since it is smaller than the sum of its proper divisors (87041836).

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

82302164 is a wasteful number, since it uses less digits than its factorization.

82302164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 82302164 is about 9072.0540121849. The cubic root of 82302164 is about 434.9811309911.

The spelling of 82302164 in words is "eighty-two million, three hundred two thousand, one hundred sixty-four".