965472 has 48 divisors (see below), whose sum is σ = 2585520. Its totient is φ = 315392.

The previous prime is 965467. The next prime is 965483. The reversal of 965472 is 274569.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 965472.

It is an unprimeable number.

965472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8488 + ... + 8600.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

2⁹⁶⁵⁴⁷² 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 965472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292760).

965472 is an abundant number, since it is smaller than the sum of its proper divisors (1620048).

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

965472 is a wasteful number, since it uses less digits than its factorization.

965472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 965472 is about 982.5843475244. The cubic root of 965472 is about 98.8355600933.

The spelling of 965472 in words is "nine hundred sixty-five thousand, four hundred seventy-two".