27797133 has 64 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 13229568.

The previous prime is 27797123. The next prime is 27797149. The reversal of 27797133 is 33179772.

It is not a de Polignac number, because 27797133 - 2⁴ = 27797117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 27797091 and 27797100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27797113) 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 63 ways as a sum of consecutive naturals, for example, 119185 + ... + 119417.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^27797133 is an apocalyptic number.

27797133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27797133 is a deficient number, since it is larger than the sum of its proper divisors (22522227).

27797133 is a wasteful number, since it uses less digits than its factorization.

27797133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its digits is 55566, while the sum is 39.

The square root of 27797133 is about 5272.2986448038. The cubic root of 27797133 is about 302.9237573531.

The spelling of 27797133 in words is "twenty-seven million, seven hundred ninety-seven thousand, one hundred thirty-three".