33797 has 2 divisors, whose sum is σ = 33798. Its totient is φ = 33796.

The previous prime is 33791. The next prime is 33809. The reversal of 33797 is 79733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27556 + 6241 = 166^2 + 79^2 .

33797 is a truncatable prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33797 is a prime.

It is a super-2 number, since 2×33797² = 2284474418, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16898 + 16899.

It is an arithmetic number, because the mean of its divisors is an integer number (16899).

2³³⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

33797 is a deficient number, since it is larger than the sum of its proper divisors (1).

33797 is an equidigital number, since it uses as much as digits as its factorization.

33797 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3969, while the sum is 29.

The square root of 33797 is about 183.8396040031. The cubic root of 33797 is about 32.3315146413.

It can be divided in two parts, 3379 and 7, that multiplied together give a triangular number (23653 = T₂₁₇).

The spelling of 33797 in words is "thirty-three thousand, seven hundred ninety-seven".