82536401 has 2 divisors, whose sum is σ = 82536402. Its totient is φ = 82536400.

The previous prime is 82536383. The next prime is 82536431. The reversal of 82536401 is 10463528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65529025 + 17007376 = 8095^2 + 4124^2 .

It is a cyclic number.

It is not a de Polignac number, because 82536401 - 2¹⁰ = 82535377 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82536431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41268200 + 41268201.

It is an arithmetic number, because the mean of its divisors is an integer number (41268201).

Almost surely, 2^82536401 is an apocalyptic number.

It is an amenable number.

82536401 is a deficient number, since it is larger than the sum of its proper divisors (1).

82536401 is an equidigital number, since it uses as much as digits as its factorization.

82536401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 82536401 is about 9084.9546504097. The cubic root of 82536401 is about 435.3934011037.

Adding to 82536401 its reverse (10463528), we get a palindrome (92999929).

The spelling of 82536401 in words is "eighty-two million, five hundred thirty-six thousand, four hundred one".