282206401 has 9 divisors (see below), whose sum is σ = 286694499. Its totient is φ = 277788264.

The previous prime is 282206387. The next prime is 282206461. The reversal of 282206401 is 104602282.

It is a happy number.

The square root of 282206401 is 16799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82719025 + 199487376 = 9095^2 + 14124^2 .

It is not a de Polignac number, because 282206401 - 2⁵ = 282206369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (282206461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1797415 + ... + 1797571.

Almost surely, 2^282206401 is an apocalyptic number.

282206401 is the 16799-th square number.

282206401 is the 8400-th centered octagonal number.

It is an amenable number.

282206401 is a deficient number, since it is larger than the sum of its proper divisors (4488098).

282206401 is an frugal number, since it uses more digits than its factorization.

282206401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The cubic root of 282206401 is about 655.9271689729.

Multiplying 282206401 by its sum of digits (25), we get a square (7055160025 = 83995²).

Adding to 282206401 its reverse (104602282), we get a palindrome (386808683).

The spelling of 282206401 in words is "two hundred eighty-two million, two hundred six thousand, four hundred one".