965361 has 8 divisors (see below), whose sum is σ = 1291840. Its totient is φ = 641232.

The previous prime is 965357. The next prime is 965369. The reversal of 965361 is 163569.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 965361 - 2² = 965357 is a prime.

It is a Duffinian number.

965361 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 965361.

It is not an unprimeable number, because it can be changed into a prime (965369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (161480).

2⁹⁶⁵³⁶¹ is an apocalyptic number.

It is an amenable number.

965361 is a deficient number, since it is larger than the sum of its proper divisors (326479).

965361 is a wasteful number, since it uses less digits than its factorization.

965361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175.

The product of its digits is 4860, while the sum is 30.

The square root of 965361 is about 982.5278622004. The cubic root of 965361 is about 98.8317722508.

It can be divided in two parts, 965 and 361, that added together give a triangular number (1326 = T₅₁).

The spelling of 965361 in words is "nine hundred sixty-five thousand, three hundred sixty-one".