242829 has 6 divisors (see below), whose sum is σ = 350766. Its totient is φ = 161880.

The previous prime is 242819. The next prime is 242863. The reversal of 242829 is 928242.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 81225 = 402^2 + 285^2 .

It is not a de Polignac number, because 242829 - 2⁴ = 242813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242819) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13482 + ... + 13499.

It is an arithmetic number, because the mean of its divisors is an integer number (58461).

2²⁴²⁸²⁹ is an apocalyptic number.

It is an amenable number.

242829 is a deficient number, since it is larger than the sum of its proper divisors (107937).

242829 is a wasteful number, since it uses less digits than its factorization.

242829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26987 (or 26984 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 242829 is about 492.7768257538. The cubic root of 242829 is about 62.3878736298.

It can be divided in two parts, 24 and 2829, that multiplied together give a triangular number (67896 = T₃₆₈).

The spelling of 242829 in words is "two hundred forty-two thousand, eight hundred twenty-nine".