33247 has 2 divisors, whose sum is σ = 33248. Its totient is φ = 33246.

The previous prime is 33223. The next prime is 33287. The reversal of 33247 is 74233.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 33247 - 2⁷ = 33119 is a prime.

It is a super-2 number, since 2×33247² = 2210726018, which contains 22 as substring.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3³ + 3³ + 2 + 4⁷ + 7⁵ .

33247 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16623 + 16624.

It is an arithmetic number, because the mean of its divisors is an integer number (16624).

2³³²⁴⁷ is an apocalyptic number.

33247 is a deficient number, since it is larger than the sum of its proper divisors (1).

33247 is an equidigital number, since it uses as much as digits as its factorization.

33247 is an odious number, because the sum of its binary digits is odd.

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

The square root of 33247 is about 182.3375989751. The cubic root of 33247 is about 32.1551708259.

The spelling of 33247 in words is "thirty-three thousand, two hundred forty-seven".