10821601 has 12 divisors (see below), whose sum is σ = 12650580. Its totient is φ = 9229920.

The previous prime is 10821589. The next prime is 10821631. The reversal of 10821601 is 10612801.

It can be written as a sum of positive squares in 2 ways, for example, as 1677025 + 9144576 = 1295^2 + 3024^2 .

It is not a de Polignac number, because 10821601 - 2¹⁷ = 10690529 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821631) by changing a digit.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12771 + ... + 13591.

It is an arithmetic number, because the mean of its divisors is an integer number (1054215).

Almost surely, 2^10821601 is an apocalyptic number.

It is an amenable number.

10821601 is a deficient number, since it is larger than the sum of its proper divisors (1828979).

10821601 is an equidigital number, since it uses as much as digits as its factorization.

10821601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 10821601 is about 3289.6201908427. The cubic root of 10821601 is about 221.1891598597.

It can be divided in two parts, 10821 and 601, that multiplied together give a triangular number (6503421 = T₃₆₀₆).

The spelling of 10821601 in words is "ten million, eight hundred twenty-one thousand, six hundred one".