83050400 has 36 divisors (see below), whose sum is σ = 202748742. Its totient is φ = 33219840.

The previous prime is 83050399. The next prime is 83050427. The reversal of 83050400 is 405038.

It can be written as a sum of positive squares in 3 ways, for example, as 41628304 + 41422096 = 6452^2 + 6436^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51107 + ... + 52706.

Almost surely, 2^83050400 is an apocalyptic number.

83050400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83050400 is an abundant number, since it is smaller than the sum of its proper divisors (119698342).

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

83050400 is a wasteful number, since it uses less digits than its factorization.

83050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103833 (or 103820 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 83050400 is about 9113.1992187157. The cubic root of 83050400 is about 436.2953417950.

Adding to 83050400 its reverse (405038), we get a palindrome (83455438).

The spelling of 83050400 in words is "eighty-three million, fifty thousand, four hundred".