242991 has 36 divisors (see below), whose sum is σ = 444600. Its totient is φ = 127008.

The previous prime is 242989. The next prime is 242999. The reversal of 242991 is 199242.

242991 = 11³ + 12³ + ... + 31³.

It is not a de Polignac number, because 242991 - 2¹ = 242989 is a prime.

242991 is a lucky number.

It is a nialpdrome in base 12.

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 242991.

It is not an unprimeable number, because it can be changed into a prime (242999) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8365 + ... + 8393.

It is an arithmetic number, because the mean of its divisors is an integer number (12350).

2²⁴²⁹⁹¹ is an apocalyptic number.

242991 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242991 is a deficient number, since it is larger than the sum of its proper divisors (201609).

242991 is a wasteful number, since it uses less digits than its factorization.

242991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 242991 is about 492.9411729608. The cubic root of 242991 is about 62.4017442806.

The spelling of 242991 in words is "two hundred forty-two thousand, nine hundred ninety-one".