33906797 has 2 divisors, whose sum is σ = 33906798. Its totient is φ = 33906796.

The previous prime is 33906793. The next prime is 33906799. The reversal of 33906797 is 79760933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28079401 + 5827396 = 5299^2 + 2414^2 .

It is a cyclic number.

It is not a de Polignac number, because 33906797 - 2² = 33906793 is a prime.

It is a super-2 number, since 2×33906797² = 2299341765598418, which contains 22 as substring.

Together with 33906799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33906793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16953398 + 16953399.

It is an arithmetic number, because the mean of its divisors is an integer number (16953399).

Almost surely, 2^33906797 is an apocalyptic number.

33906797 is the 3113-rd centered heptagonal number.

It is an amenable number.

33906797 is a deficient number, since it is larger than the sum of its proper divisors (1).

33906797 is an equidigital number, since it uses as much as digits as its factorization.

33906797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 214326, while the sum is 44.

The square root of 33906797 is about 5822.9543189003. The cubic root of 33906797 is about 323.6648881079.

The spelling of 33906797 in words is "thirty-three million, nine hundred six thousand, seven hundred ninety-seven".