53884101 has 32 divisors (see below), whose sum is σ = 80621568. Its totient is φ = 31834880.

The previous prime is 53884097. The next prime is 53884111. The reversal of 53884101 is 10148835.

53884101 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 53884101 - 2² = 53884097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53884111) 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 31 ways as a sum of consecutive naturals, for example, 82960 + ... + 83606.

It is an arithmetic number, because the mean of its divisors is an integer number (2519424).

Almost surely, 2^53884101 is an apocalyptic number.

53884101 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

53884101 is a deficient number, since it is larger than the sum of its proper divisors (26737467).

53884101 is a wasteful number, since it uses less digits than its factorization.

53884101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 53884101 is about 7340.5790643518. The cubic root of 53884101 is about 377.7057072211.

The spelling of 53884101 in words is "fifty-three million, eight hundred eighty-four thousand, one hundred one".