963009 has 14 divisors (see below), whose sum is σ = 1444946. Its totient is φ = 641520.

The previous prime is 962993. The next prime is 963019. The reversal of 963009 is 900369.

963009 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 only one way, i.e., 944784 + 18225 = 972^2 + 135^2 .

It is not a de Polignac number, because 963009 - 2⁴ = 962993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

963009 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963019) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 69 + ... + 1389.

2⁹⁶³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

963009 is a deficient number, since it is larger than the sum of its proper divisors (481937).

963009 is an equidigital number, since it uses as much as digits as its factorization.

963009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 963009 is about 981.3302196509. The cubic root of 963009 is about 98.7514425896.

The spelling of 963009 in words is "nine hundred sixty-three thousand, nine".