1965852 has 72 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 540288.

The previous prime is 1965851. The next prime is 1965853. The reversal of 1965852 is 2585691.

It is a happy number.

1965852 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (1965851) and next prime (1965853).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7174 + ... + 7442.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2^1965852 is an apocalyptic number.

1965852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

1965852 is an abundant number, since it is smaller than the sum of its proper divisors (3930948).

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

1965852 is a wasteful number, since it uses less digits than its factorization.

1965852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

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

The square root of 1965852 is about 1402.0884422889. The cubic root of 1965852 is about 125.2709217205.

The spelling of 1965852 in words is "one million, nine hundred sixty-five thousand, eight hundred fifty-two".