33120257 has 2 divisors, whose sum is σ = 33120258. Its totient is φ = 33120256.

The previous prime is 33120247. The next prime is 33120281. The reversal of 33120257 is 75202133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22886656 + 10233601 = 4784^2 + 3199^2 .

It is a cyclic number.

It is not a de Polignac number, because 33120257 - 2¹⁸ = 32858113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33120247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560128 + 16560129.

It is an arithmetic number, because the mean of its divisors is an integer number (16560129).

It is a Proth number, since it is equal to 4043 ⋅ 2¹³ + 1 and 4043 < 2¹³.

Almost surely, 2^33120257 is an apocalyptic number.

It is an amenable number.

33120257 is a deficient number, since it is larger than the sum of its proper divisors (1).

33120257 is an equidigital number, since it uses as much as digits as its factorization.

33120257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 33120257 is about 5755.0201563505. The cubic root of 33120257 is about 321.1425853746.

The spelling of 33120257 in words is "thirty-three million, one hundred twenty thousand, two hundred fifty-seven".