963738 has 28 divisors (see below), whose sum is σ = 2170698. Its totient is φ = 320760.

The previous prime is 963731. The next prime is 963751. The reversal of 963738 is 837369.

It can be written as a sum of positive squares in only one way, i.e., 700569 + 263169 = 837^2 + 513^2 .

It is a super-3 number, since 3×963738³ = 2685333347533389816, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (963731) by changing a digit.

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 in 13 ways as a sum of consecutive naturals, for example, 1128 + ... + 1788.

2⁹⁶³⁷³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085349).

963738 is an abundant number, since it is smaller than the sum of its proper divisors (1206960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

963738 is an equidigital number, since it uses as much as digits as its factorization.

963738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 666 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 963738 is about 981.7015839857. The cubic root of 963738 is about 98.7763546599.

The spelling of 963738 in words is "nine hundred sixty-three thousand, seven hundred thirty-eight".