242964 has 36 divisors (see below), whose sum is σ = 651924. Its totient is φ = 76032.

The previous prime is 242927. The next prime is 242971. The reversal of 242964 is 469242.

242964 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 176400 + 66564 = 420^2 + 258^2 .

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

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

242964 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, 414 + ... + 810.

It is an arithmetic number, because the mean of its divisors is an integer number (18109).

2²⁴²⁹⁶⁴ 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 242964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325962).

242964 is an abundant number, since it is smaller than the sum of its proper divisors (408960).

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

242964 is a wasteful number, since it uses less digits than its factorization.

242964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 242964 is about 492.9137855650. The cubic root of 242964 is about 62.3994329337.

The spelling of 242964 in words is "two hundred forty-two thousand, nine hundred sixty-four".