242757 has 18 divisors (see below), whose sum is σ = 373958. Its totient is φ = 157464.

The previous prime is 242747. The next prime is 242773. The reversal of 242757 is 757242.

242757 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 only one way, i.e., 236196 + 6561 = 486^2 + 81^2 .

It is not a de Polignac number, because 242757 - 2⁷ = 242629 is a prime.

It is a super-2 number, since 2×242757² = 117861922098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

Its product of digits (3920) is a multiple of the sum of its prime divisors (40).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 242757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242747) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6543 + ... + 6579.

242757 is a Friedman number, since it can be written as (7*5+2)*(7+2)^4, using all its digits and the basic arithmetic operations.

2²⁴²⁷⁵⁷ is an apocalyptic number.

242757 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

242757 is a deficient number, since it is larger than the sum of its proper divisors (131201).

242757 is an frugal number, since it uses more digits than its factorization.

242757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 40 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 242757 is about 492.7037649542. The cubic root of 242757 is about 62.3817069159.

Adding to 242757 its reverse (757242), we get a palindrome (999999).

It can be divided in two parts, 242 and 757, that added together give a palindrome (999).

The spelling of 242757 in words is "two hundred forty-two thousand, seven hundred fifty-seven".