82033300 has 18 divisors (see below), whose sum is σ = 178012478. Its totient is φ = 32813280.

The previous prime is 82033277. The next prime is 82033307. The reversal of 82033300 is 333028.

It can be written as a sum of positive squares in 3 ways, for example, as 9647236 + 72386064 = 3106^2 + 8508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82033307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 410067 + ... + 410266.

Almost surely, 2^82033300 is an apocalyptic number.

It is an amenable number.

82033300 is an abundant number, since it is smaller than the sum of its proper divisors (95979178).

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

82033300 is a wasteful number, since it uses less digits than its factorization.

82033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820347 (or 820340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 82033300 is about 9057.2236364131. The cubic root of 82033300 is about 434.5069500624.

Adding to 82033300 its reverse (333028), we get a palindrome (82366328).

The spelling of 82033300 in words is "eighty-two million, thirty-three thousand, three hundred".