82148200 has 24 divisors (see below), whose sum is σ = 190995030. Its totient is φ = 32859200.

The previous prime is 82148197. The next prime is 82148201. The reversal of 82148200 is 284128.

It can be written as a sum of positive squares in 3 ways, for example, as 49589764 + 32558436 = 7042^2 + 5706^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (82148201) 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, 205171 + ... + 205570.

Almost surely, 2^82148200 is an apocalyptic number.

It is an amenable number.

82148200 is an abundant number, since it is smaller than the sum of its proper divisors (108846830).

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

82148200 is a wasteful number, since it uses less digits than its factorization.

82148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410757 (or 410748 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 82148200 is about 9063.5644202488. The cubic root of 82148200 is about 434.7097195783.

The spelling of 82148200 in words is "eighty-two million, one hundred forty-eight thousand, two hundred".