54345312 has 108 divisors (see below), whose sum is σ = 179822916. Its totient is φ = 15523200.

The previous prime is 54345287. The next prime is 54345331. The reversal of 54345312 is 21354345.

54345312 is a `hidden beast` number, since 5 + 4 + 345 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12187 + ... + 16037.

It is an arithmetic number, because the mean of its divisors is an integer number (1665027).

Almost surely, 2^54345312 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 54345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89911458).

54345312 is an abundant number, since it is smaller than the sum of its proper divisors (125477604).

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

54345312 is a wasteful number, since it uses less digits than its factorization.

54345312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3863 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 54345312 is about 7371.9272920994. The cubic root of 54345312 is about 378.7802812113.

Adding to 54345312 its reverse (21354345), we get a palindrome (75699657).

The spelling of 54345312 in words is "fifty-four million, three hundred forty-five thousand, three hundred twelve".