242013177 has 48 divisors (see below), whose sum is σ = 420201600. Its totient is φ = 136328832.

The previous prime is 242013131. The next prime is 242013181. The reversal of 242013177 is 771310242.

It is a happy number.

It is not a de Polignac number, because 242013177 - 2⁷ = 242013049 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 242013177.

It is not an unprimeable number, because it can be changed into a prime (242013197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123199 + ... + 125147.

It is an arithmetic number, because the mean of its divisors is an integer number (8754200).

Almost surely, 2^242013177 is an apocalyptic number.

242013177 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

242013177 is a deficient number, since it is larger than the sum of its proper divisors (178188423).

242013177 is an equidigital number, since it uses as much as digits as its factorization.

242013177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 242013177 is about 15556.7727051596. The cubic root of 242013177 is about 623.1792788162.

The spelling of 242013177 in words is "two hundred forty-two million, thirteen thousand, one hundred seventy-seven".