82842401 has 2 divisors, whose sum is σ = 82842402. Its totient is φ = 82842400.

The previous prime is 82842391. The next prime is 82842421. The reversal of 82842401 is 10424828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69889600 + 12952801 = 8360^2 + 3599^2 .

It is a cyclic number.

It is not a de Polignac number, because 82842401 - 2¹⁸ = 82580257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82842421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41421200 + 41421201.

It is an arithmetic number, because the mean of its divisors is an integer number (41421201).

Almost surely, 2^82842401 is an apocalyptic number.

It is an amenable number.

82842401 is a deficient number, since it is larger than the sum of its proper divisors (1).

82842401 is an equidigital number, since it uses as much as digits as its factorization.

82842401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 82842401 is about 9101.7801006177. The cubic root of 82842401 is about 435.9308046770.

The spelling of 82842401 in words is "eighty-two million, eight hundred forty-two thousand, four hundred one".