53046 has 24 divisors (see below), whose sum is σ = 131664. Its totient is φ = 15120.

The previous prime is 53017. The next prime is 53047. The reversal of 53046 is 64035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53047) 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, 85 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (5486).

2⁵³⁰⁴⁶ is an apocalyptic number.

53046 is an abundant number, since it is smaller than the sum of its proper divisors (78618).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65832).

53046 is a wasteful number, since it uses less digits than its factorization.

53046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53046 is about 230.3171726120. The cubic root of 53046 is about 37.5737216415.

It can be divided in two parts, 530 and 46, that added together give a square (576 = 24²).

The spelling of 53046 in words is "fifty-three thousand, forty-six".