82131361 has 8 divisors (see below), whose sum is σ = 88721024. Its totient is φ = 75580560.

The previous prime is 82131353. The next prime is 82131373. The reversal of 82131361 is 16313128.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82131361 - 2³ = 82131353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82131311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5241 + ... + 13846.

It is an arithmetic number, because the mean of its divisors is an integer number (11090128).

Almost surely, 2^82131361 is an apocalyptic number.

It is an amenable number.

82131361 is a deficient number, since it is larger than the sum of its proper divisors (6589663).

82131361 is a wasteful number, since it uses less digits than its factorization.

82131361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19431.

The product of its digits is 864, while the sum is 25.

The square root of 82131361 is about 9062.6354334708. The cubic root of 82131361 is about 434.6800148203.

Subtracting from 82131361 its sum of digits (25), we obtain a triangular number (82131336 = T₁₂₈₁₆).

Adding to 82131361 its reverse (16313128), we get a palindrome (98444489).

The spelling of 82131361 in words is "eighty-two million, one hundred thirty-one thousand, three hundred sixty-one".