10824561 has 24 divisors (see below), whose sum is σ = 17387136. Its totient is φ = 6433440.

The previous prime is 10824557. The next prime is 10824571. The reversal of 10824561 is 16542801.

10824561 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10824561 - 2² = 10824557 is a prime.

It is a super-2 number, since 2×10824561² = 234342241685442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10824551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4216 + ... + 6278.

It is an arithmetic number, because the mean of its divisors is an integer number (724464).

Almost surely, 2^10824561 is an apocalyptic number.

10824561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10824561 is a deficient number, since it is larger than the sum of its proper divisors (6562575).

10824561 is a wasteful number, since it uses less digits than its factorization.

10824561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10824561 is about 3290.0700600443. The cubic root of 10824561 is about 221.2093250900.

The spelling of 10824561 in words is "ten million, eight hundred twenty-four thousand, five hundred sixty-one".