83850 has 48 divisors (see below), whose sum is σ = 229152. Its totient is φ = 20160.

The previous prime is 83843. The next prime is 83857. The reversal of 83850 is 5838.

It is an interprime number because it is at equal distance from previous prime (83843) and next prime (83857).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 83850.

It is not an unprimeable number, because it can be changed into a prime (83857) by changing a digit.

83850 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1929 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (4774).

2⁸³⁸⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576).

83850 is an abundant number, since it is smaller than the sum of its proper divisors (145302).

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

83850 is a wasteful number, since it uses less digits than its factorization.

83850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 83850 is about 289.5686447114. The cubic root of 83850 is about 43.7691073002.

It can be divided in two parts, 838 and 50, that added together give a palindrome (888).

The spelling of 83850 in words is "eighty-three thousand, eight hundred fifty".