83965050 has 144 divisors (see below), whose sum is σ = 251317248. Its totient is φ = 19958400.

The previous prime is 83965039. The next prime is 83965061. The reversal of 83965050 is 5056938.

It is an interprime number because it is at equal distance from previous prime (83965039) and next prime (83965061).

It is a junction number, because it is equal to n+sod(n) for n = 83964996 and 83965014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181119 + ... + 181581.

Almost surely, 2^83965050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83965050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125658624).

83965050 is an abundant number, since it is smaller than the sum of its proper divisors (167352198).

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

83965050 is a wasteful number, since it uses less digits than its factorization.

83965050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 83965050 is about 9163.2445127258. The cubic root of 83965050 is about 437.8911658033.

The spelling of 83965050 in words is "eighty-three million, nine hundred sixty-five thousand, fifty".