54966945 has 32 divisors (see below), whose sum is σ = 96712704. Its totient is φ = 26436800.

The previous prime is 54966913. The next prime is 54966953.

54966945 is nontrivially palindromic in base 10.

54966945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54966945 - 2⁵ = 54966913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54966894 and 54966903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20344 + ... + 22886.

It is an arithmetic number, because the mean of its divisors is an integer number (3022272).

Almost surely, 2^54966945 is an apocalyptic number.

54966945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54966945 is a deficient number, since it is larger than the sum of its proper divisors (41745759).

54966945 is a wasteful number, since it uses less digits than its factorization.

54966945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693.

The product of its digits is 1166400, while the sum is 48.

The square root of 54966945 is about 7413.9695845073. The cubic root of 54966945 is about 380.2190449942.

The spelling of 54966945 in words is "fifty-four million, nine hundred sixty-six thousand, nine hundred forty-five".