54145 has 24 divisors (see below), whose sum is σ = 86184. Its totient is φ = 32256.

The previous prime is 54139. The next prime is 54151.

54145 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54139) and next prime (54151).

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 50176 = 63^2 + 224^2 .

It is not a de Polignac number, because 54145 - 2⁹ = 53633 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3177 + ... + 3193.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2⁵⁴¹⁴⁵ is an apocalyptic number.

It is an amenable number.

54145 is a deficient number, since it is larger than the sum of its proper divisors (32039).

54145 is a wasteful number, since it uses less digits than its factorization.

54145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 42 counting only the distinct ones).

The product of its digits is 400, while the sum is 19.

The square root of 54145 is about 232.6907819403. The cubic root of 54145 is about 37.8314324743.

Adding to 54145 its product of digits (400), we get a palindrome (54545).

The spelling of 54145 in words is "fifty-four thousand, one hundred forty-five".