1965125 has 16 divisors (see below), whose sum is σ = 2496000. Its totient is φ = 1544400.

The previous prime is 1965109. The next prime is 1965133. The reversal of 1965125 is 5215691.

It is not a de Polignac number, because 1965125 - 2⁴ = 1965109 is a prime.

It is a plaindrome in base 11.

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 15 ways as a sum of consecutive naturals, for example, 9776 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (156000).

2^1965125 is an apocalyptic number.

It is an amenable number.

1965125 is a deficient number, since it is larger than the sum of its proper divisors (530875).

1965125 is an equidigital number, since it uses as much as digits as its factorization.

1965125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its digits is 2700, while the sum is 29.

The square root of 1965125 is about 1401.8291622020. The cubic root of 1965125 is about 125.2554774943.

The spelling of 1965125 in words is "one million, nine hundred sixty-five thousand, one hundred twenty-five".