10200461 has 2 divisors, whose sum is σ = 10200462. Its totient is φ = 10200460.

The previous prime is 10200413. The next prime is 10200469. The reversal of 10200461 is 16400201.

10200461 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8444836 + 1755625 = 2906^2 + 1325^2 .

It is an emirp because it is prime and its reverse (16400201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10200461 - 2¹⁰ = 10199437 is a prime.

It is a super-2 number, since 2×10200461² = 208098809225042, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100230 + 5100231.

It is an arithmetic number, because the mean of its divisors is an integer number (5100231).

Almost surely, 2^10200461 is an apocalyptic number.

It is an amenable number.

10200461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200461 is an equidigital number, since it uses as much as digits as its factorization.

10200461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10200461 is about 3193.8160560684. The cubic root of 10200461 is about 216.8735557047.

Adding to 10200461 its reverse (16400201), we get a palindrome (26600662).

The spelling of 10200461 in words is "ten million, two hundred thousand, four hundred sixty-one".