33540973 has 2 divisors, whose sum is σ = 33540974. Its totient is φ = 33540972.

The previous prime is 33540971. The next prime is 33540979. The reversal of 33540973 is 37904533.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33327529 + 213444 = 5773^2 + 462^2 .

It is an emirp because it is prime and its reverse (37904533) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33540973 - 2¹ = 33540971 is a prime.

It is a super-2 number, since 2×33540973² = 2249993739573458, which contains 22 as substring.

Together with 33540971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33540971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16770486 + 16770487.

It is an arithmetic number, because the mean of its divisors is an integer number (16770487).

Almost surely, 2^33540973 is an apocalyptic number.

It is an amenable number.

33540973 is a deficient number, since it is larger than the sum of its proper divisors (1).

33540973 is an equidigital number, since it uses as much as digits as its factorization.

33540973 is an odious number, because the sum of its binary digits is odd.

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

The square root of 33540973 is about 5791.4568978798. The cubic root of 33540973 is about 322.4966584194.

The spelling of 33540973 in words is "thirty-three million, five hundred forty thousand, nine hundred seventy-three".