54001314 has 12 divisors (see below), whose sum is σ = 117002886. Its totient is φ = 18000432.

The previous prime is 54001313. The next prime is 54001351. The reversal of 54001314 is 41310045.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34047225 + 19954089 = 5835^2 + 4467^2 .

It is a super-2 number, since 2×54001314² = 5832283827453192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3000073 = 54001314 / (5 + 4 + 0 + 0 + 1 + 3 + 1 + 4).

It is not an unprimeable number, because it can be changed into a prime (54001313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1500019 + ... + 1500054.

Almost surely, 2^54001314 is an apocalyptic number.

54001314 is an abundant number, since it is smaller than the sum of its proper divisors (63001572).

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

54001314 is a wasteful number, since it uses less digits than its factorization.

54001314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000081 (or 3000078 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54001314 is about 7348.5586341813. The cubic root of 54001314 is about 377.9793807515.

Adding to 54001314 its reverse (41310045), we get a palindrome (95311359).

The spelling of 54001314 in words is "fifty-four million, one thousand, three hundred fourteen".