54005679 has 96 divisors (see below), whose sum is σ = 103993344. Its totient is φ = 26231040.

The previous prime is 54005669. The next prime is 54005711. The reversal of 54005679 is 97650045.

54005679 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 54005679 - 2⁵ = 54005647 is a prime.

It is a super-2 number, since 2×54005679² = 5833226728502082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54005639) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 885309 + ... + 885369.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^54005679 is an apocalyptic number.

54005679 is a deficient number, since it is larger than the sum of its proper divisors (49987665).

54005679 is a wasteful number, since it uses less digits than its factorization.

54005679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 54005679 is about 7348.8556251977. The cubic root of 54005679 is about 377.9895646737.

The spelling of 54005679 in words is "fifty-four million, five thousand, six hundred seventy-nine".