83205000 has 180 divisors, whose sum is σ = 288294435. Its totient is φ = 21672000.

The previous prime is 83204969. The next prime is 83205011. The reversal of 83205000 is 50238.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 19236996 + 63968004 = 4386^2 + 7998^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6450.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1934979 + ... + 1935021.

Almost surely, 2^83205000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83205000

83205000 is an abundant number, since it is smaller than the sum of its proper divisors (205089435).

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

83205000 is a wasteful number, since it uses less digits than its factorization.

83205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 83205000 is about 9121.6774773065. The cubic root of 83205000 is about 436.5658981845.

Multiplying 83205000 by its sum of digits (18), we get a square (1497690000 = 38700²).

83205000 divided by its sum of digits (18) gives a square (4622500 = 2150²).

Adding to 83205000 its reverse (50238), we get a palindrome (83255238).

The spelling of 83205000 in words is "eighty-three million, two hundred five thousand".