1965144 has 32 divisors (see below), whose sum is σ = 5047920. Its totient is φ = 637056.

The previous prime is 1965133. The next prime is 1965167. The reversal of 1965144 is 4415691.

It is a happy number.

It is a d-powerful number, because it can be written as 1 + 9² + 6⁵ + 5⁹ + 1 + 4³ + 4⁶ .

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 7 ways as a sum of consecutive naturals, for example, 219 + ... + 1994.

2^1965144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523960).

1965144 is an abundant number, since it is smaller than the sum of its proper divisors (3082776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1965144 is a wasteful number, since it uses less digits than its factorization.

1965144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2255 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 1965144 is about 1401.8359390457. The cubic root of 1965144 is about 125.2558811745.

The spelling of 1965144 in words is "one million, nine hundred sixty-five thousand, one hundred forty-four".