965200 has 60 divisors (see below), whose sum is σ = 2460160. Its totient is φ = 362880.

The previous prime is 965197. The next prime is 965201. The reversal of 965200 is 2569.

965200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×965200² = 1863222080000, which contains 22 as substring.

It is a nialpdrome in base 10 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7537 + ... + 7663.

2⁹⁶⁵²⁰⁰ 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 965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230080).

965200 is an abundant number, since it is smaller than the sum of its proper divisors (1494960).

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

965200 is a wasteful number, since it uses less digits than its factorization.

965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 965200 is about 982.4459272652. The cubic root of 965200 is about 98.8262776569.

Adding to 965200 its reverse (2569), we get a palindrome (967769).

The spelling of 965200 in words is "nine hundred sixty-five thousand, two hundred".