291288 has 32 divisors (see below), whose sum is σ = 745200. Its totient is φ = 94848.

The previous prime is 291287. The next prime is 291293. The reversal of 291288 is 882192.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (291287) 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, 1158 + ... + 1386.

2²⁹¹²⁸⁸ 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 291288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372600).

291288 is an abundant number, since it is smaller than the sum of its proper divisors (453912).

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

291288 is a wasteful number, since it uses less digits than its factorization.

291288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 291288 is about 539.7110337949. The cubic root of 291288 is about 66.2889079629.

The spelling of 291288 in words is "two hundred ninety-one thousand, two hundred eighty-eight".