242364 has 24 divisors (see below), whose sum is σ = 595840. Its totient is φ = 76464.

The previous prime is 242357. The next prime is 242371. The reversal of 242364 is 463242.

It is an interprime number because it is at equal distance from previous prime (242357) and next prime (242371).

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 self number, because there is not a number n which added to its sum of digits gives 242364.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 759.

2²⁴²³⁶⁴ is an apocalyptic number.

It is an amenable number.

242364 is an abundant number, since it is smaller than the sum of its proper divisors (353476).

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

242364 is a wasteful number, since it uses less digits than its factorization.

242364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 242364 is about 492.3047836453. The cubic root of 242364 is about 62.3480254259.

It can be divided in two parts, 242 and 364, that multiplied together give a palindrome (88088).

The spelling of 242364 in words is "two hundred forty-two thousand, three hundred sixty-four".