1842212241 has 45 divisors (see below), whose sum is σ = 2916026553. Its totient is φ = 1158867000.

The previous prime is 1842212233. The next prime is 1842212249. The reversal of 1842212241 is 1422122481.

The square root of 1842212241 is 42921.

It is a perfect power (a square), and thus also a powerful number.

1842212241 is a `hidden beast` number, since 18 + 422 + 1 + 224 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1842212233) and next prime (1842212249).

It is not a de Polignac number, because 1842212241 - 2³ = 1842212233 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1842212249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7339366 + ... + 7339616.

Almost surely, 2^1842212241 is an apocalyptic number.

1842212241 is the 42921-st square number.

1842212241 is the 21461-st centered octagonal number.

It is an amenable number.

1842212241 is a deficient number, since it is larger than the sum of its proper divisors (1073814312).

1842212241 is an frugal number, since it uses more digits than its factorization.

1842212241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 273 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The cubic root of 1842212241 is about 1225.8760338754.

The spelling of 1842212241 in words is "one billion, eight hundred forty-two million, two hundred twelve thousand, two hundred forty-one".