13620825 has 48 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 6831360.

The previous prime is 13620797. The next prime is 13620829. The reversal of 13620825 is 52802631.

13620825 is a `hidden beast` number, since 13 + 620 + 8 + 25 = 666.

It is not a de Polignac number, because 13620825 - 2⁷ = 13620697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13620829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10882 + ... + 12068.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 2^13620825 is an apocalyptic number.

13620825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13620825 is a deficient number, since it is larger than the sum of its proper divisors (12895335).

13620825 is a wasteful number, since it uses less digits than its factorization.

13620825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1212 counting only the distinct ones).

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

The square root of 13620825 is about 3690.6401883684. The cubic root of 13620825 is about 238.8184109943.

The spelling of 13620825 in words is "thirteen million, six hundred twenty thousand, eight hundred twenty-five".