27813233 has 36 divisors (see below), whose sum is σ = 35933940. Its totient is φ = 21422016.

The previous prime is 27813221. The next prime is 27813239. The reversal of 27813233 is 33231872.

It can be written as a sum of positive squares in 2 ways, for example, as 20322064 + 7491169 = 4508^2 + 2737^2 .

It is not a de Polignac number, because 27813233 - 2¹⁰ = 27812209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

Its product of digits (6048) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 27813196 and 27813205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27813239) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 751691 + ... + 751727.

It is an arithmetic number, because the mean of its divisors is an integer number (998165).

Almost surely, 2^27813233 is an apocalyptic number.

27813233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27813233 is a deficient number, since it is larger than the sum of its proper divisors (8120707).

27813233 is a wasteful number, since it uses less digits than its factorization.

27813233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 27813233 is about 5273.8252720393. The cubic root of 27813233 is about 302.9822301843.

The spelling of 27813233 in words is "twenty-seven million, eight hundred thirteen thousand, two hundred thirty-three".