53154 has 12 divisors (see below), whose sum is σ = 115206. Its totient is φ = 17712.

The previous prime is 53149. The next prime is 53161. The reversal of 53154 is 45135.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 15129 = 195^2 + 123^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2953 = 53154 / (5 + 3 + 1 + 5 + 4).

It is an unprimeable number.

53154 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1459 + ... + 1494.

2⁵³¹⁵⁴ is an apocalyptic number.

53154 is an abundant number, since it is smaller than the sum of its proper divisors (62052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53154 is a wasteful number, since it uses less digits than its factorization.

53154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2958 counting only the distinct ones).

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

The square root of 53154 is about 230.5515126821. The cubic root of 53154 is about 37.5992039970.

Adding to 53154 its reverse (45135), we get a palindrome (98289).

It can be divided in two parts, 531 and 54, that added together give a palindrome (585).

The spelling of 53154 in words is "fifty-three thousand, one hundred fifty-four".