33405973 has 2 divisors, whose sum is σ = 33405974. Its totient is φ = 33405972.

The previous prime is 33405947. The next prime is 33406007. The reversal of 33405973 is 37950433.

It is an a-pointer prime, because the next prime (33406007) can be obtained adding 33405973 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32913169 + 492804 = 5737^2 + 702^2 .

It is a cyclic number.

It is not a de Polignac number, because 33405973 - 2⁹ = 33405461 is a prime.

It is a super-2 number, since 2×33405973² = 2231918064153458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33405773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16702986 + 16702987.

It is an arithmetic number, because the mean of its divisors is an integer number (16702987).

Almost surely, 2^33405973 is an apocalyptic number.

It is an amenable number.

33405973 is a deficient number, since it is larger than the sum of its proper divisors (1).

33405973 is an equidigital number, since it uses as much as digits as its factorization.

33405973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 34.

The square root of 33405973 is about 5779.7900480900. The cubic root of 33405973 is about 322.0634013499.

The spelling of 33405973 in words is "thirty-three million, four hundred five thousand, nine hundred seventy-three".