58413312 has 126 divisors (see below), whose sum is σ = 175376222. Its totient is φ = 19408896.

The previous prime is 58413301. The next prime is 58413323. The reversal of 58413312 is 21331485.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58413301) and next prime (58413323).

It can be written as a sum of positive squares in only one way, i.e., 31539456 + 26873856 = 5616^2 + 5184^2 .

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186468 + ... + 186780.

Almost surely, 2^58413312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87688111).

58413312 is an abundant number, since it is smaller than the sum of its proper divisors (116962910).

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

58413312 is an frugal number, since it uses more digits than its factorization.

58413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 318 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 58413312 is about 7642.8601975962. The cubic root of 58413312 is about 388.0049597269.

Adding to 58413312 its reverse (21331485), we get a palindrome (79744797).

The spelling of 58413312 in words is "fifty-eight million, four hundred thirteen thousand, three hundred twelve".