10824541 has 12 divisors (see below), whose sum is σ = 13561212. Its totient is φ = 8563968.

The previous prime is 10824503. The next prime is 10824551. The reversal of 10824541 is 14542801.

It can be written as a sum of positive squares in 2 ways, for example, as 1552516 + 9272025 = 1246^2 + 3045^2 .

It is not a de Polignac number, because 10824541 - 2¹⁵ = 10791773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824551) 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, 7860 + ... + 9133.

It is an arithmetic number, because the mean of its divisors is an integer number (1130101).

Almost surely, 2^10824541 is an apocalyptic number.

It is an amenable number.

10824541 is a deficient number, since it is larger than the sum of its proper divisors (2736671).

10824541 is a wasteful number, since it uses less digits than its factorization.

10824541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17020 (or 17013 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 10824541 is about 3290.0670205940. The cubic root of 10824541 is about 221.2091888508.

It can be divided in two parts, 108 and 24541, that added together give a square (24649 = 157²).

The spelling of 10824541 in words is "ten million, eight hundred twenty-four thousand, five hundred forty-one".