967288 has 32 divisors (see below), whose sum is σ = 2165760. Its totient is φ = 396000.

The previous prime is 967261. The next prime is 967289. The reversal of 967288 is 882769.

967288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 967288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 913 + ... + 1663.

It is an arithmetic number, because the mean of its divisors is an integer number (67680).

2⁹⁶⁷²⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082880).

967288 is an abundant number, since it is smaller than the sum of its proper divisors (1198472).

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

967288 is a wasteful number, since it uses less digits than its factorization.

967288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 783 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 967288 is about 983.5080070848. The cubic root of 967288 is about 98.8974893743.

The spelling of 967288 in words is "nine hundred sixty-seven thousand, two hundred eighty-eight".