1965834 has 48 divisors (see below), whose sum is σ = 4752384. Its totient is φ = 583200.

The previous prime is 1965781. The next prime is 1965851. The reversal of 1965834 is 4385691.

It is a d-powerful number, because it can be written as 1 + 9² + 6⁵ + 5⁹ + 8³ + 3⁵ + 4⁶ .

Its product of digits (25920) is a multiple of the sum of its prime divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7119 + ... + 7389.

It is an arithmetic number, because the mean of its divisors is an integer number (99008).

2^1965834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376192).

1965834 is an abundant number, since it is smaller than the sum of its proper divisors (2786550).

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

1965834 is a wasteful number, since it uses less digits than its factorization.

1965834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1965834 is about 1402.0820232782. The cubic root of 1965834 is about 125.2705393785.

The spelling of 1965834 in words is "one million, nine hundred sixty-five thousand, eight hundred thirty-four".