1545 has 8 divisors (see below), whose sum is σ = 2496. Its totient is φ = 816.

The previous prime is 1543. The next prime is 1549. The reversal of 1545 is 5451.

1545 is nontrivially palindromic in base 4.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1545 - 2¹ = 1543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 103 = 1545 / (1 + 5 + 4 + 5).

1545 is a modest number, since divided by 45 gives 15 as remainder.

1545 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 66.

It is an arithmetic number, because the mean of its divisors is an integer number (312).

1545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1545 is a deficient number, since it is larger than the sum of its proper divisors (951).

1545 is a wasteful number, since it uses less digits than its factorization.

1545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111.

The product of its digits is 100, while the sum is 15.

The square root of 1545 is about 39.3064880141. The cubic root of 1545 is about 11.5604878407.

Adding to 1545 its reverse (5451), we get a palindrome (6996).

The spelling of 1545 in words is "one thousand, five hundred forty-five".