292968 has 48 divisors (see below), whose sum is σ = 857220. Its totient is φ = 89856.

The previous prime is 292933. The next prime is 292969. The reversal of 292968 is 869292.

292968 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 79524 = 462^2 + 282^2 .

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

It is a nude number because it is divisible by every one of its digits.

292968 is a nontrivial repdigit in base 5.

It is a plaindrome in base 5.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (292969) by changing a digit.

292968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780 + ... + 1092.

2²⁹²⁹⁶⁸ 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 292968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428610).

292968 is an abundant number, since it is smaller than the sum of its proper divisors (564252).

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

292968 is a wasteful number, since it uses less digits than its factorization.

292968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

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

The square root of 292968 is about 541.2651845445. The cubic root of 292968 is about 66.4161038987.

The spelling of 292968 in words is "two hundred ninety-two thousand, nine hundred sixty-eight".