82637201 has 2 divisors, whose sum is σ = 82637202. Its totient is φ = 82637200.

The previous prime is 82637189. The next prime is 82637231. The reversal of 82637201 is 10273628.

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., 77862976 + 4774225 = 8824^2 + 2185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82637201 is a prime.

It is a super-2 number, since 2×82637201² = 13657813978228802, which contains 22 as substring.

It is equal to p_4814318 and since 82637201 and 4814318 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (82637231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41318600 + 41318601.

It is an arithmetic number, because the mean of its divisors is an integer number (41318601).

Almost surely, 2^82637201 is an apocalyptic number.

It is an amenable number.

82637201 is a deficient number, since it is larger than the sum of its proper divisors (1).

82637201 is an equidigital number, since it uses as much as digits as its factorization.

82637201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 82637201 is about 9090.5005912766. The cubic root of 82637201 is about 435.5705746499.

The spelling of 82637201 in words is "eighty-two million, six hundred thirty-seven thousand, two hundred one".