53145 has 12 divisors (see below), whose sum is σ = 92196. Its totient is φ = 28320.

The previous prime is 53129. The next prime is 53147. The reversal of 53145 is 54135.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 17424 = 189^2 + 132^2 .

It is not a de Polignac number, because 53145 - 2⁴ = 53129 is a prime.

It is a Curzon number.

53145 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (53147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (7683).

2⁵³¹⁴⁵ is an apocalyptic number.

It is an amenable number.

53145 is a deficient number, since it is larger than the sum of its proper divisors (39051).

53145 is a wasteful number, since it uses less digits than its factorization.

53145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1189 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 53145 is about 230.5319934413. The cubic root of 53145 is about 37.5970817865.

Subtracting 53145 from its reverse (54135), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 531 and 45, that added together give a square (576 = 24²).

The spelling of 53145 in words is "fifty-three thousand, one hundred forty-five".