20742825 has 24 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 11006080.

The previous prime is 20742817. The next prime is 20742833. The reversal of 20742825 is 52824702.

It is an interprime number because it is at equal distance from previous prime (20742817) and next prime (20742833).

It is not a de Polignac number, because 20742825 - 2³ = 20742817 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20742792 and 20742801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16882 + ... + 18068.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^20742825 is an apocalyptic number.

20742825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20742825 is a deficient number, since it is larger than the sum of its proper divisors (13728183).

20742825 is a wasteful number, since it uses less digits than its factorization.

20742825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 20742825 is about 4554.4291629138. The cubic root of 20742825 is about 274.7615563984.

The spelling of 20742825 in words is "twenty million, seven hundred forty-two thousand, eight hundred twenty-five".