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BaseRepresentation
bin11100110101
32112100
4130311
524340
612313
75244
oct3465
92470
101845
111428
121099
13abc
1495b
15830
hex735

1845 has 12 divisors (see below), whose sum is σ = 3276. Its totient is φ = 960.

The previous prime is 1831. The next prime is 1847. The reversal of 1845 is 5481.

1845 = T14 + T15 + ... + T23.

1845 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 324 + 1521 = 18^2 + 39^2 .

It is not a de Polignac number, because 1845 - 210 = 821 is a prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25 + ... + 65.

It is an arithmetic number, because the mean of its divisors is an integer number (273).

1845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1845 is a deficient number, since it is larger than the sum of its proper divisors (1431).

1845 is a wasteful number, since it uses less digits than its factorization.

1845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 49 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 1845 is about 42.9534631898. The cubic root of 1845 is about 12.2649408147.

The spelling of 1845 in words is "one thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845