82131301 has 12 divisors (see below), whose sum is σ = 101161548. Its totient is φ = 66256512.

The previous prime is 82131227. The next prime is 82131311. The reversal of 82131301 is 10313128.

It can be written as a sum of positive squares in 2 ways, for example, as 77176225 + 4955076 = 8785^2 + 2226^2 .

It is not a de Polignac number, because 82131301 - 2¹¹ = 82129253 is a prime.

It is a Duffinian number.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48466 + ... + 50131.

It is an arithmetic number, because the mean of its divisors is an integer number (8430129).

Almost surely, 2^82131301 is an apocalyptic number.

It is an amenable number.

82131301 is a deficient number, since it is larger than the sum of its proper divisors (19030247).

82131301 is a wasteful number, since it uses less digits than its factorization.

82131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98628 (or 98621 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 82131301 is about 9062.6321231748. The cubic root of 82131301 is about 434.6799089704.

Adding to 82131301 its reverse (10313128), we get a palindrome (92444429).

The spelling of 82131301 in words is "eighty-two million, one hundred thirty-one thousand, three hundred one".