965000 has 40 divisors (see below), whose sum is σ = 2272710. Its totient is φ = 384000.

The previous prime is 964981. The next prime is 965023. The reversal of 965000 is 569.

965000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 676 + 964324 = 26^2 + 982^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10 and base 16.

It is a congruent number.

It is an unprimeable number.

965000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4904 + ... + 5096.

2⁹⁶⁵⁰⁰⁰ 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 965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136355).

965000 is an abundant number, since it is smaller than the sum of its proper divisors (1307710).

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

965000 is a wasteful number, since it uses less digits than its factorization.

965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 965000 is about 982.3441352194. The cubic root of 965000 is about 98.8194512234.

Adding to 965000 its reverse (569), we get a palindrome (965569).

The spelling of 965000 in words is "nine hundred sixty-five thousand".