10632825 has 72 divisors (see below), whose sum is σ = 22413248. Its totient is φ = 4717440.

The previous prime is 10632823. The next prime is 10632829. The reversal of 10632825 is 52823601.

10632825 is a `hidden beast` number, since 1 + 0 + 632 + 8 + 25 = 666.

It is not a de Polignac number, because 10632825 - 2¹ = 10632823 is a prime.

It is a super-2 number, since 2×10632825² = 226113934961250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10632823) 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 71 ways as a sum of consecutive naturals, for example, 67647 + ... + 67803.

Almost surely, 2^10632825 is an apocalyptic number.

10632825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10632825 is an abundant number, since it is smaller than the sum of its proper divisors (11780423).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10632825 is a wasteful number, since it uses less digits than its factorization.

10632825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10632825 is about 3260.8012818938. The cubic root of 10632825 is about 219.8954392934.

The spelling of 10632825 in words is "ten million, six hundred thirty-two thousand, eight hundred twenty-five".