38080053 has 24 divisors (see below), whose sum is σ = 60911136. Its totient is φ = 22730400.

The previous prime is 38080037. The next prime is 38080057. The reversal of 38080053 is 35008083.

It is not a de Polignac number, because 38080053 - 2⁴ = 38080037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38079999 and 38080026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38080057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3763 + ... + 9503.

It is an arithmetic number, because the mean of its divisors is an integer number (2537964).

Almost surely, 2^38080053 is an apocalyptic number.

38080053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38080053 is a deficient number, since it is larger than the sum of its proper divisors (22831083).

38080053 is a wasteful number, since it uses less digits than its factorization.

38080053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38080053 is about 6170.9037425648. The cubic root of 38080053 is about 336.4334594917.

The spelling of 38080053 in words is "thirty-eight million, eighty thousand, fifty-three".