83206000 has 40 divisors (see below), whose sum is σ = 201196944. Its totient is φ = 33281600.

The previous prime is 83205971. The next prime is 83206001. The reversal of 83206000 is 60238.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83206001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18802 + ... + 22801.

Almost surely, 2^83206000 is an apocalyptic number.

83206000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83206000 is an abundant number, since it is smaller than the sum of its proper divisors (117990944).

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

83206000 is a wasteful number, since it uses less digits than its factorization.

83206000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41626 (or 41610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 83206000 is about 9121.7322916209. The cubic root of 83206000 is about 436.5676471345.

Adding to 83206000 its reverse (60238), we get a palindrome (83266238).

The spelling of 83206000 in words is "eighty-three million, two hundred six thousand".