242077005 has 80 divisors (see below), whose sum is σ = 461968320. Its totient is φ = 120932352.

The previous prime is 242076973. The next prime is 242077027. The reversal of 242077005 is 500770242.

It is not a de Polignac number, because 242077005 - 2⁵ = 242076973 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 242077005.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1254189 + ... + 1254381.

It is an arithmetic number, because the mean of its divisors is an integer number (5774604).

Almost surely, 2^242077005 is an apocalyptic number.

It is an amenable number.

242077005 is a deficient number, since it is larger than the sum of its proper divisors (219891315).

242077005 is a wasteful number, since it uses less digits than its factorization.

242077005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

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

The square root of 242077005 is about 15558.8240236851. The cubic root of 242077005 is about 623.2340592916.

The spelling of 242077005 in words is "two hundred forty-two million, seventy-seven thousand, five".