1830609 has 27 divisors (see below), whose sum is σ = 2979067. Its totient is φ = 1082400.

The previous prime is 1830599. The next prime is 1830613. The reversal of 1830609 is 9060381.

The square root of 1830609 is 1353.

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

It can be written as a sum of positive squares in only one way, i.e., 88209 + 1742400 = 297^2 + 1320^2 .

It is not a de Polignac number, because 1830609 - 2⁷ = 1830481 is a prime.

It is a super-2 number, since 2×1830609² = 6702258621762, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1830629) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44629 + ... + 44669.

2^1830609 is an apocalyptic number.

1830609 is the 1353-rd square number.

1830609 is the 677-th centered octagonal number.

It is an amenable number.

1830609 is a deficient number, since it is larger than the sum of its proper divisors (1148458).

1830609 is a wasteful number, since it uses less digits than its factorization.

1830609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 1830609 is about 122.3296869647.

Multiplying 1830609 by its product of nonzero digits (1296), we get a square (2372469264 = 48708²).

The spelling of 1830609 in words is "one million, eight hundred thirty thousand, six hundred nine".