242164461 has 32 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 124375680.

The previous prime is 242164459. The next prime is 242164463. The reversal of 242164461 is 164461242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242164459) and next prime (242164463).

It is not a de Polignac number, because 242164461 - 2¹ = 242164459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242164463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14670 + ... + 26448.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 2^242164461 is an apocalyptic number.

242164461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242164461 is a deficient number, since it is larger than the sum of its proper divisors (164952339).

242164461 is a wasteful number, since it uses less digits than its factorization.

242164461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11889.

The product of its digits is 9216, while the sum is 30.

The square root of 242164461 is about 15561.6342650764. The cubic root of 242164461 is about 623.3091028993.

The spelling of 242164461 in words is "two hundred forty-two million, one hundred sixty-four thousand, four hundred sixty-one".