82131336 has 96 divisors (see below), whose sum is σ = 257212800. Its totient is φ = 23189760.

The previous prime is 82131317. The next prime is 82131341. The reversal of 82131336 is 63313128.

It is a happy number.

82131336 is a nontrivial binomial coefficient, being equal to C(12817, 2).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43941 + ... + 45771.

It is an arithmetic number, because the mean of its divisors is an integer number (2679300).

Almost surely, 2^82131336 is an apocalyptic number.

82131336 is the 12816-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82131336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128606400).

82131336 is an abundant number, since it is smaller than the sum of its proper divisors (175081464).

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

82131336 is a wasteful number, since it uses less digits than its factorization.

82131336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1932 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 82131336 is about 9062.6340541809. The cubic root of 82131336 is about 434.6799707162.

The spelling of 82131336 in words is "eighty-two million, one hundred thirty-one thousand, three hundred thirty-six".