20782125 has 144 divisors (see below), whose sum is σ = 48550320. Its totient is φ = 8467200.

The previous prime is 20782117. The next prime is 20782141. The reversal of 20782125 is 52128702.

It can be written as a sum of positive squares in 8 ways, for example, as 10458756 + 10323369 = 3234^2 + 3213^2 .

It is not a de Polignac number, because 20782125 - 2³ = 20782117 is a prime.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 716611 + ... + 716639.

It is an arithmetic number, because the mean of its divisors is an integer number (337155).

Almost surely, 2^20782125 is an apocalyptic number.

20782125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20782125 is an abundant number, since it is smaller than the sum of its proper divisors (27768195).

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

20782125 is a wasteful number, since it uses less digits than its factorization.

20782125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20782125 is about 4558.7416026794. The cubic root of 20782125 is about 274.9349708497.

The spelling of 20782125 in words is "twenty million, seven hundred eighty-two thousand, one hundred twenty-five".