82830401 has 2 divisors, whose sum is σ = 82830402. Its totient is φ = 82830400.

The previous prime is 82830379. The next prime is 82830413. The reversal of 82830401 is 10403828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46240000 + 36590401 = 6800^2 + 6049^2 .

It is a cyclic number.

It is not a de Polignac number, because 82830401 - 2¹⁸ = 82568257 is a prime.

It is not a weakly prime, because it can be changed into another prime (82830491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41415200 + 41415201.

It is an arithmetic number, because the mean of its divisors is an integer number (41415201).

Almost surely, 2^82830401 is an apocalyptic number.

It is an amenable number.

82830401 is a deficient number, since it is larger than the sum of its proper divisors (1).

82830401 is an equidigital number, since it uses as much as digits as its factorization.

82830401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 82830401 is about 9101.1208650364. The cubic root of 82830401 is about 435.9097549802.

The spelling of 82830401 in words is "eighty-two million, eight hundred thirty thousand, four hundred one".