82125198 has 64 divisors (see below), whose sum is σ = 194944320. Its totient is φ = 25537536.

The previous prime is 82125193. The next prime is 82125247. The reversal of 82125198 is 89152128.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82125193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125440 + ... + 126092.

It is an arithmetic number, because the mean of its divisors is an integer number (3046005).

Almost surely, 2^82125198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82125198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97472160).

82125198 is an abundant number, since it is smaller than the sum of its proper divisors (112819122).

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

82125198 is a wasteful number, since it uses less digits than its factorization.

82125198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 82125198 is about 9062.2954045871. The cubic root of 82125198 is about 434.6691419946.

The spelling of 82125198 in words is "eighty-two million, one hundred twenty-five thousand, one hundred ninety-eight".