33427 has 2 divisors, whose sum is σ = 33428. Its totient is φ = 33426.

The previous prime is 33413. The next prime is 33457. The reversal of 33427 is 72433.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 33427 - 2¹¹ = 31379 is a prime.

It is a super-2 number, since 2×33427² = 2234728658, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3² + 3⁵ + 4³ + 2¹⁵ + 7³ .

It is not a weakly prime, because it can be changed into another prime (33457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16713 + 16714.

It is an arithmetic number, because the mean of its divisors is an integer number (16714).

2³³⁴²⁷ is an apocalyptic number.

33427 is a deficient number, since it is larger than the sum of its proper divisors (1).

33427 is an equidigital number, since it uses as much as digits as its factorization.

33427 is an evil number, because the sum of its binary digits is even.

The product of its digits is 504, while the sum is 19.

The square root of 33427 is about 182.8305226159. The cubic root of 33427 is about 32.2130960194.

Subtracting from 33427 its product of digits (504), we obtain a palindrome (32923).

It can be divided in two parts, 334 and 27, that added together give a square (361 = 19²).

The spelling of 33427 in words is "thirty-three thousand, four hundred twenty-seven".