1965952 has 16 divisors (see below), whose sum is σ = 3916800. Its totient is φ = 982912.

The previous prime is 1965941. The next prime is 1965959. The reversal of 1965952 is 2595691.

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965959) 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 as a sum of consecutive naturals, namely, 7552 + ... + 7807.

It is an arithmetic number, because the mean of its divisors is an integer number (244800).

2^1965952 is an apocalyptic number.

It is an amenable number.

1965952 is a deficient number, since it is larger than the sum of its proper divisors (1950848).

1965952 is an equidigital number, since it uses as much as digits as its factorization.

1965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15373 (or 15361 counting only the distinct ones).

The product of its digits is 24300, while the sum is 37.

The square root of 1965952 is about 1402.1241029238. The cubic root of 1965952 is about 125.2730458003.

The spelling of 1965952 in words is "one million, nine hundred sixty-five thousand, nine hundred fifty-two".