33258961 has 2 divisors, whose sum is σ = 33258962. Its totient is φ = 33258960.

The previous prime is 33258959. The next prime is 33258983. The reversal of 33258961 is 16985233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31854736 + 1404225 = 5644^2 + 1185^2 .

It is an emirp because it is prime and its reverse (16985233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33258961 - 2¹ = 33258959 is a prime.

It is a super-2 number, since 2×33258961² = 2212316973599042, which contains 22 as substring.

Together with 33258959, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 33258961.

It is not a weakly prime, because it can be changed into another prime (33258991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16629480 + 16629481.

It is an arithmetic number, because the mean of its divisors is an integer number (16629481).

Almost surely, 2^33258961 is an apocalyptic number.

It is an amenable number.

33258961 is a deficient number, since it is larger than the sum of its proper divisors (1).

33258961 is an equidigital number, since it uses as much as digits as its factorization.

33258961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38880, while the sum is 37.

The square root of 33258961 is about 5767.0582622339. The cubic root of 33258961 is about 321.5902643078.

The spelling of 33258961 in words is "thirty-three million, two hundred fifty-eight thousand, nine hundred sixty-one".