1829241 has 6 divisors (see below), whose sum is σ = 2642250. Its totient is φ = 1219488.

The previous prime is 1829227. The next prime is 1829249. The reversal of 1829241 is 1429281.

It can be written as a sum of positive squares in only one way, i.e., 992016 + 837225 = 996^2 + 915^2 .

It is not a de Polignac number, because 1829241 - 2⁵ = 1829209 is a prime.

It is a super-3 number, since 3×1829241³ = 18362594150842333563, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1829249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101616 + ... + 101633.

It is an arithmetic number, because the mean of its divisors is an integer number (440375).

2^1829241 is an apocalyptic number.

It is an amenable number.

1829241 is a deficient number, since it is larger than the sum of its proper divisors (813009).

1829241 is a wasteful number, since it uses less digits than its factorization.

1829241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203255 (or 203252 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1829241 is about 1352.4943622803. The cubic root of 1829241 is about 122.2992073602.

The spelling of 1829241 in words is "one million, eight hundred twenty-nine thousand, two hundred forty-one".