82825050 has 192 divisors, whose sum is σ = 262268928. Its totient is φ = 16800000.

The previous prime is 82825033. The next prime is 82825063. The reversal of 82825050 is 5052828.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82824999 and 82825017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 820000 + ... + 820100.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 2^82825050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82825050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131134464).

82825050 is an abundant number, since it is smaller than the sum of its proper divisors (179443878).

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

82825050 is a wasteful number, since it uses less digits than its factorization.

82825050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 82825050 is about 9100.8268855088. The cubic root of 82825050 is about 435.9003679142.

Adding to 82825050 its reverse (5052828), we get a palindrome (87877878).

It can be divided in two parts, 828 and 25050, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 82825050 in words is "eighty-two million, eight hundred twenty-five thousand, fifty".