82136061 has 48 divisors (see below), whose sum is σ = 146375424. Its totient is φ = 43310592.

The previous prime is 82136057. The next prime is 82136077. The reversal of 82136061 is 16063128.

It is not a de Polignac number, because 82136061 - 2² = 82136057 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82136051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56040 + ... + 57486.

It is an arithmetic number, because the mean of its divisors is an integer number (3049488).

Almost surely, 2^82136061 is an apocalyptic number.

It is an amenable number.

82136061 is a deficient number, since it is larger than the sum of its proper divisors (64239363).

82136061 is a wasteful number, since it uses less digits than its factorization.

82136061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82136061 is about 9062.8947362308. The cubic root of 82136061 is about 434.6883062415.

Adding to 82136061 its reverse (16063128), we get a palindrome (98199189).

The spelling of 82136061 in words is "eighty-two million, one hundred thirty-six thousand, sixty-one".