83436 has 24 divisors (see below), whose sum is σ = 206640. Its totient is φ = 26112.

The previous prime is 83431. The next prime is 83437. The reversal of 83436 is 63438.

83436 is a nontrivial binomial coefficient, being equal to C(409, 2).

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83431) by changing a digit.

83436 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (8610).

2⁸³⁴³⁶ is an apocalyptic number.

83436 is the 408-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103320).

83436 is an abundant number, since it is smaller than the sum of its proper divisors (123204).

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

83436 is a wasteful number, since it uses less digits than its factorization.

83436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 83436 is about 288.8529037417. The cubic root of 83436 is about 43.6969533944.

The spelling of 83436 in words is "eighty-three thousand, four hundred thirty-six".