33974993 has 8 divisors (see below), whose sum is σ = 38740968. Its totient is φ = 29516544.

The previous prime is 33974953. The next prime is 33975013. The reversal of 33974993 is 39947933.

It can be written as a sum of positive squares in 4 ways, for example, as 4631104 + 29343889 = 2152^2 + 5417^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33974993 - 2¹² = 33970897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33974953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76646 + ... + 77087.

It is an arithmetic number, because the mean of its divisors is an integer number (4842621).

Almost surely, 2^33974993 is an apocalyptic number.

It is an amenable number.

33974993 is a deficient number, since it is larger than the sum of its proper divisors (4765975).

33974993 is a wasteful number, since it uses less digits than its factorization.

33974993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153763.

The product of its digits is 551124, while the sum is 47.

The square root of 33974993 is about 5828.8071678518. The cubic root of 33974993 is about 323.8817361649.

The spelling of 33974993 in words is "thirty-three million, nine hundred seventy-four thousand, nine hundred ninety-three".