54057829 has 16 divisors (see below), whose sum is σ = 63475200. Its totient is φ = 46016880.

The previous prime is 54057781. The next prime is 54057853. The reversal of 54057829 is 92875045.

It is not a de Polignac number, because 54057829 - 2⁷ = 54057701 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54057791 and 54057800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54057929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58884 + ... + 59794.

It is an arithmetic number, because the mean of its divisors is an integer number (3967200).

Almost surely, 2^54057829 is an apocalyptic number.

It is an amenable number.

54057829 is a deficient number, since it is larger than the sum of its proper divisors (9417371).

54057829 is an equidigital number, since it uses as much as digits as its factorization.

54057829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 54057829 is about 7352.4029405358. The cubic root of 54057829 is about 378.1111927112. Note that the first 4 decimals are identical.

The spelling of 54057829 in words is "fifty-four million, fifty-seven thousand, eight hundred twenty-nine".