1965132 has 108 divisors (see below), whose sum is σ = 5995080. Its totient is φ = 539136.

The previous prime is 1965109. The next prime is 1965133. The reversal of 1965132 is 2315691.

1965132 is a `hidden beast` number, since 1 + 9 + 651 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1620) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 1965096 and 1965105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965133) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 103419 + ... + 103437.

It is an arithmetic number, because the mean of its divisors is an integer number (55510).

2^1965132 is an apocalyptic number.

1965132 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 1965132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997540).

1965132 is an abundant number, since it is smaller than the sum of its proper divisors (4029948).

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

1965132 is a wasteful number, since it uses less digits than its factorization.

1965132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 1965132 is about 1401.8316589377. The cubic root of 1965132 is about 125.2556262189.

It can be divided in two parts, 19651 and 32, that added together give a 9-th power (19683 = 3⁹).

The spelling of 1965132 in words is "one million, nine hundred sixty-five thousand, one hundred thirty-two".