3782825 has 12 divisors (see below), whose sum is σ = 4715100. Its totient is φ = 3010560.

The previous prime is 3782819. The next prime is 3782869. The reversal of 3782825 is 5282873.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 157609 + 3625216 = 397^2 + 1904^2 .

It is not a de Polignac number, because 3782825 - 2¹⁰ = 3781801 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3¹⁰ + 7⁷ + 8⁶ + 2¹⁰ + 8⁷ + 2¹⁹ + 5⁶ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8201 + ... + 8649.

It is an arithmetic number, because the mean of its divisors is an integer number (392925).

Almost surely, 2^3782825 is an apocalyptic number.

It is an amenable number.

3782825 is a deficient number, since it is larger than the sum of its proper divisors (932275).

3782825 is a wasteful number, since it uses less digits than its factorization.

3782825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 791 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 3782825 is about 1944.9485854387. The cubic root of 3782825 is about 155.8136197304.

The spelling of 3782825 in words is "three million, seven hundred eighty-two thousand, eight hundred twenty-five".