962065 has 24 divisors (see below), whose sum is σ = 1344168. Its totient is φ = 656640.

The previous prime is 962063. The next prime is 962077. The reversal of 962065 is 560269.

962065 = 20² + 21² + ... + 142².

962065 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 4 ways, for example, as 23104 + 938961 = 152^2 + 969^2 .

It is not a de Polignac number, because 962065 - 2¹ = 962063 is a prime.

It is an Ulam number.

It is a Duffinian number.

962065 is a lucky number.

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (962063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23445 + ... + 23485.

It is an arithmetic number, because the mean of its divisors is an integer number (56007).

2⁹⁶²⁰⁶⁵ is an apocalyptic number.

962065 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

962065 is a deficient number, since it is larger than the sum of its proper divisors (382103).

962065 is a wasteful number, since it uses less digits than its factorization.

962065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 962065 is about 980.8491219347. The cubic root of 962065 is about 98.7191646501.

The spelling of 962065 in words is "nine hundred sixty-two thousand, sixty-five".