10617821 has 2 divisors, whose sum is σ = 10617822. Its totient is φ = 10617820.

The previous prime is 10617787. The next prime is 10617829. The reversal of 10617821 is 12871601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9211225 + 1406596 = 3035^2 + 1186^2 .

It is a cyclic number.

It is not a de Polignac number, because 10617821 - 2¹⁸ = 10355677 is a prime.

It is a super-2 number, since 2×10617821² = 225476245576082, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10617829) 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, 5308910 + 5308911.

It is an arithmetic number, because the mean of its divisors is an integer number (5308911).

Almost surely, 2^10617821 is an apocalyptic number.

It is an amenable number.

10617821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10617821 is an equidigital number, since it uses as much as digits as its factorization.

10617821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 10617821 is about 3258.4998081939. The cubic root of 10617821 is about 219.7919589773.

The spelling of 10617821 in words is "ten million, six hundred seventeen thousand, eight hundred twenty-one".