20782625 has 16 divisors (see below), whose sum is σ = 26434512. Its totient is φ = 16307200.

The previous prime is 20782591. The next prime is 20782633. The reversal of 20782625 is 52628702.

It can be written as a sum of positive squares in 8 ways, for example, as 279841 + 20502784 = 529^2 + 4528^2 .

It is not a de Polignac number, because 20782625 - 2¹⁴ = 20766241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20782591 and 20782600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5057 + ... + 8193.

It is an arithmetic number, because the mean of its divisors is an integer number (1652157).

Almost surely, 2^20782625 is an apocalyptic number.

20782625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20782625 is a deficient number, since it is larger than the sum of its proper divisors (5651887).

20782625 is an equidigital number, since it uses as much as digits as its factorization.

20782625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 20782625 is about 4558.7964420448. The cubic root of 20782625 is about 274.9371757314.

The spelling of 20782625 in words is "twenty million, seven hundred eighty-two thousand, six hundred twenty-five".