968292 has 36 divisors (see below), whose sum is σ = 2637180. Its totient is φ = 297792.

The previous prime is 968291. The next prime is 968299. The reversal of 968292 is 292869.

968292 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 2 ways, for example, as 147456 + 820836 = 384^2 + 906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (968291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567 + ... + 1502.

It is an arithmetic number, because the mean of its divisors is an integer number (73255).

2⁹⁶⁸²⁹² is an apocalyptic number.

It is an amenable number.

968292 is an abundant number, since it is smaller than the sum of its proper divisors (1668888).

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

968292 is a wasteful number, since it uses less digits than its factorization.

968292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2087 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 968292 is about 984.0182925129. The cubic root of 968292 is about 98.9316945422.

Subtracting from 968292 its sum of digits (36), we obtain a square (968256 = 984²).

The spelling of 968292 in words is "nine hundred sixty-eight thousand, two hundred ninety-two".