54629211 has 64 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 26597376.

The previous prime is 54629203. The next prime is 54629213. The reversal of 54629211 is 11292645.

54629211 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 54629211 - 2³ = 54629203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54629213) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 366565 + ... + 366713.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^54629211 is an apocalyptic number.

54629211 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

54629211 is a deficient number, since it is larger than the sum of its proper divisors (42138789).

54629211 is a wasteful number, since it uses less digits than its factorization.

54629211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its digits is 4320, while the sum is 30.

The square root of 54629211 is about 7391.1576224567. The cubic root of 54629211 is about 379.4387166027.

The spelling of 54629211 in words is "fifty-four million, six hundred twenty-nine thousand, two hundred eleven".