1965825 has 18 divisors (see below), whose sum is σ = 3521414. Its totient is φ = 1048320.

The previous prime is 1965781. The next prime is 1965851. The reversal of 1965825 is 5285691.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 1896129 = 264^2 + 1377^2 .

It is not a de Polignac number, because 1965825 - 2¹⁰ = 1964801 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1965825.

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 17 ways as a sum of consecutive naturals, for example, 4144 + ... + 4593.

2^1965825 is an apocalyptic number.

1965825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1965825 is a deficient number, since it is larger than the sum of its proper divisors (1555589).

1965825 is a wasteful number, since it uses less digits than its factorization.

1965825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8753 (or 8745 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1965825 is about 1402.0788137619. The cubic root of 1965825 is about 125.2703482066.

It can be divided in two parts, 19658 and 25, that added together give a 9-th power (19683 = 3⁹).

The spelling of 1965825 in words is "one million, nine hundred sixty-five thousand, eight hundred twenty-five".