1829145 has 16 divisors (see below), whose sum is σ = 2946240. Its totient is φ = 969024.

The previous prime is 1829143. The next prime is 1829171. The reversal of 1829145 is 5419281.

It is a happy number.

1829145 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 1829145 - 2¹ = 1829143 is a prime.

1829145 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1829141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646 + ... + 3264.

It is an arithmetic number, because the mean of its divisors is an integer number (184140).

2^1829145 is an apocalyptic number.

1829145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1829145 is a deficient number, since it is larger than the sum of its proper divisors (1117095).

1829145 is a wasteful number, since it uses less digits than its factorization.

1829145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824.

The product of its digits is 2880, while the sum is 30.

The square root of 1829145 is about 1352.4588718331. The cubic root of 1829145 is about 122.2970678700.

It can be divided in two parts, 18291 and 45, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 1829145 in words is "one million, eight hundred twenty-nine thousand, one hundred forty-five".