965172 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 283008.

The previous prime is 965171. The next prime is 965177. The reversal of 965172 is 271569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965171) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3454 + ... + 3722.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁹⁶⁵¹⁷² is an apocalyptic number.

965172 is a gapful number since it is divisible by the number (92) 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 965172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

965172 is an abundant number, since it is smaller than the sum of its proper divisors (1574988).

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

965172 is a wasteful number, since it uses less digits than its factorization.

965172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 965172 is about 982.4316770137. The cubic root of 965172 is about 98.8253220130.

The spelling of 965172 in words is "nine hundred sixty-five thousand, one hundred seventy-two".