963617 has 4 divisors (see below), whose sum is σ = 979476. Its totient is φ = 947760.

The previous prime is 963607. The next prime is 963629. The reversal of 963617 is 716369.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 716369 = 491 ⋅1459.

It can be written as a sum of positive squares in 2 ways, for example, as 309136 + 654481 = 556^2 + 809^2 .

It is a cyclic number.

It is not a de Polignac number, because 963617 - 2⁴ = 963601 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7.

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 963617.

It is not an unprimeable number, because it can be changed into a prime (963607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7838 + ... + 7959.

It is an arithmetic number, because the mean of its divisors is an integer number (244869).

2⁹⁶³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

963617 is a deficient number, since it is larger than the sum of its proper divisors (15859).

963617 is a wasteful number, since it uses less digits than its factorization.

963617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15858.

The product of its digits is 6804, while the sum is 32.

The square root of 963617 is about 981.6399543621. The cubic root of 963617 is about 98.7722206044.

The spelling of 963617 in words is "nine hundred sixty-three thousand, six hundred seventeen".