53416314 has 64 divisors (see below), whose sum is σ = 136442880. Its totient is φ = 15174000.

The previous prime is 53416309. The next prime is 53416331. The reversal of 53416314 is 41361435.

53416314 is a `hidden beast` number, since 5 + 341 + 6 + 314 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94597 + ... + 95159.

It is an arithmetic number, because the mean of its divisors is an integer number (2131920).

Almost surely, 2^53416314 is an apocalyptic number.

53416314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53416314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68221440).

53416314 is an abundant number, since it is smaller than the sum of its proper divisors (83026566).

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

53416314 is a wasteful number, since it uses less digits than its factorization.

53416314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 53416314 is about 7308.6465231259. The cubic root of 53416314 is about 376.6095298859.

Adding to 53416314 its reverse (41361435), we get a palindrome (94777749).

The spelling of 53416314 in words is "fifty-three million, four hundred sixteen thousand, three hundred fourteen".