82731101 has 2 divisors, whose sum is σ = 82731102. Its totient is φ = 82731100.

The previous prime is 82731079. The next prime is 82731169. The reversal of 82731101 is 10113728.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74407876 + 8323225 = 8626^2 + 2885^2 .

It is a cyclic number.

It is not a de Polignac number, because 82731101 - 2¹⁴ = 82714717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82731601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41365550 + 41365551.

It is an arithmetic number, because the mean of its divisors is an integer number (41365551).

Almost surely, 2^82731101 is an apocalyptic number.

It is an amenable number.

82731101 is a deficient number, since it is larger than the sum of its proper divisors (1).

82731101 is an equidigital number, since it uses as much as digits as its factorization.

82731101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 82731101 is about 9095.6638570255. The cubic root of 82731101 is about 435.7354906715.

Adding to 82731101 its reverse (10113728), we get a palindrome (92844829).

The spelling of 82731101 in words is "eighty-two million, seven hundred thirty-one thousand, one hundred one".