6782625 has 24 divisors (see below), whose sum is σ = 12228840. Its totient is φ = 3616800.

The previous prime is 6782621. The next prime is 6782627. The reversal of 6782625 is 5262876.

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 6765201 = 132^2 + 2601^2 .

It is not a de Polignac number, because 6782625 - 2² = 6782621 is a prime.

6782625 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6782625.

It is not an unprimeable number, because it can be changed into a prime (6782621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1890 + ... + 4139.

It is an arithmetic number, because the mean of its divisors is an integer number (509535).

Almost surely, 2^6782625 is an apocalyptic number.

It is an amenable number.

6782625 is a deficient number, since it is larger than the sum of its proper divisors (5446215).

6782625 is a wasteful number, since it uses less digits than its factorization.

6782625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6050 (or 6037 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 6782625 is about 2604.3473270668. The cubic root of 6782625 is about 189.2921491650.

The spelling of 6782625 in words is "six million, seven hundred eighty-two thousand, six hundred twenty-five".