965416 has 8 divisors (see below), whose sum is σ = 1810170. Its totient is φ = 482704.

The previous prime is 965411. The next prime is 965423. The reversal of 965416 is 614569.

It can be written as a sum of positive squares in only one way, i.e., 568516 + 396900 = 754^2 + 630^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×965416³ = 2699384384607333888, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (965411) by changing a digit.

965416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 60331 + ... + 60346.

2⁹⁶⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

965416 is a deficient number, since it is larger than the sum of its proper divisors (844754).

965416 is a wasteful number, since it uses less digits than its factorization.

965416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120683 (or 120679 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 965416 is about 982.5558508299. Note that the first 3 decimals coincide. The cubic root of 965416 is about 98.8336491460.

The spelling of 965416 in words is "nine hundred sixty-five thousand, four hundred sixteen".