53416 has 16 divisors (see below), whose sum is σ = 109440. Its totient is φ = 24240.

The previous prime is 53411. The next prime is 53419. The reversal of 53416 is 61435.

53416 = T₉₃ + T₉₄ + ... + T₁₀₃.

It is a junction number, because it is equal to n+sod(n) for n = 53393 and 53402.

It is not an unprimeable number, because it can be changed into a prime (53411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216 + ... + 391.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁵³⁴¹⁶ is an apocalyptic number.

It is an amenable number.

53416 is an abundant number, since it is smaller than the sum of its proper divisors (56024).

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 (54720).

53416 is a wasteful number, since it uses less digits than its factorization.

53416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 53416 is about 231.1190169588. The cubic root of 53416 is about 37.6608791936.

Adding to 53416 its sum of digits (19), we get a palindrome (53435).

The spelling of 53416 in words is "fifty-three thousand, four hundred sixteen".