53946 has 28 divisors (see below), whose sum is σ = 124602. Its totient is φ = 17496.

The previous prime is 53939. The next prime is 53951. The reversal of 53946 is 64935.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 18225 = 189^2 + 135^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1440 + ... + 1476.

2⁵³⁹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62301).

53946 is an abundant number, since it is smaller than the sum of its proper divisors (70656).

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

53946 is an equidigital number, since it uses as much as digits as its factorization.

53946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 42 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 53946 is about 232.2627822102. The cubic root of 53946 is about 37.7850280843.

It can be divided in two parts, 539 and 46, that added together give a palindrome (585).

The spelling of 53946 in words is "fifty-three thousand, nine hundred forty-six".