10821257 has 2 divisors, whose sum is σ = 10821258. Its totient is φ = 10821256.

The previous prime is 10821229. The next prime is 10821259. The reversal of 10821257 is 75212801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10214416 + 606841 = 3196^2 + 779^2 .

It is an emirp because it is prime and its reverse (75212801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10821257 - 2⁸ = 10821001 is a prime.

Together with 10821259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10821259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5410628 + 5410629.

It is an arithmetic number, because the mean of its divisors is an integer number (5410629).

Almost surely, 2^10821257 is an apocalyptic number.

It is an amenable number.

10821257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10821257 is an equidigital number, since it uses as much as digits as its factorization.

10821257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 10821257 is about 3289.5679047559. The cubic root of 10821257 is about 221.1868160945.

The spelling of 10821257 in words is "ten million, eight hundred twenty-one thousand, two hundred fifty-seven".