82106501 has 2 divisors, whose sum is σ = 82106502. Its totient is φ = 82106500.

The previous prime is 82106489. The next prime is 82106513. The reversal of 82106501 is 10560128.

It is a balanced prime because it is at equal distance from previous prime (82106489) and next prime (82106513).

It can be written as a sum of positive squares in only one way, i.e., 46226401 + 35880100 = 6799^2 + 5990^2 .

It is a cyclic number.

It is not a de Polignac number, because 82106501 - 2¹⁰ = 82105477 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82105501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41053250 + 41053251.

It is an arithmetic number, because the mean of its divisors is an integer number (41053251).

Almost surely, 2^82106501 is an apocalyptic number.

It is an amenable number.

82106501 is a deficient number, since it is larger than the sum of its proper divisors (1).

82106501 is an equidigital number, since it uses as much as digits as its factorization.

82106501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 82106501 is about 9061.2637639570. The cubic root of 82106501 is about 434.6361532328.

Adding to 82106501 its reverse (10560128), we get a palindrome (92666629).

The spelling of 82106501 in words is "eighty-two million, one hundred six thousand, five hundred one".