33412993 has 2 divisors, whose sum is σ = 33412994. Its totient is φ = 33412992.

The previous prime is 33412987. The next prime is 33412999. The reversal of 33412993 is 39921433.

It is a balanced prime because it is at equal distance from previous prime (33412987) and next prime (33412999).

It can be written as a sum of positive squares in only one way, i.e., 32001649 + 1411344 = 5657^2 + 1188^2 .

It is an emirp because it is prime and its reverse (39921433) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33412993 is a prime.

It is a super-2 number, since 2×33412993² = 2232856202436098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33412999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16706496 + 16706497.

It is an arithmetic number, because the mean of its divisors is an integer number (16706497).

Almost surely, 2^33412993 is an apocalyptic number.

It is an amenable number.

33412993 is a deficient number, since it is larger than the sum of its proper divisors (1).

33412993 is an equidigital number, since it uses as much as digits as its factorization.

33412993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17496, while the sum is 34.

The square root of 33412993 is about 5780.3973046842. The cubic root of 33412993 is about 322.0859594588.

The spelling of 33412993 in words is "thirty-three million, four hundred twelve thousand, nine hundred ninety-three".