82303650 has 144 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 18403200.

The previous prime is 82303621. The next prime is 82303657. The reversal of 82303650 is 5630328.

82303650 = 56² + 57² + ... + 627².

82303650 is a `hidden beast` number, since 8 + 2 + 3 + 0 + 3 + 650 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82303657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63711 + ... + 64989.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2^82303650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82303650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

82303650 is an abundant number, since it is smaller than the sum of its proper divisors (177679710).

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

82303650 is a wasteful number, since it uses less digits than its factorization.

82303650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 82303650 is about 9072.1359116803. The cubic root of 82303650 is about 434.9837488974.

Adding to 82303650 its reverse (5630328), we get a palindrome (87933978).

The spelling of 82303650 in words is "eighty-two million, three hundred three thousand, six hundred fifty".