33740137 has 8 divisors (see below), whose sum is σ = 35477640. Its totient is φ = 32040960.

The previous prime is 33740131. The next prime is 33740159. The reversal of 33740137 is 73104733.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 31933801 = 1344^2 + 5651^2 .

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 33740137 - 2¹⁵ = 33707369 is a prime.

It is a super-2 number, since 2×33740137² = 2276793689557538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33740131) 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, 7768 + ... + 11305.

It is an arithmetic number, because the mean of its divisors is an integer number (4434705).

Almost surely, 2^33740137 is an apocalyptic number.

It is an amenable number.

33740137 is a deficient number, since it is larger than the sum of its proper divisors (1737503).

33740137 is a wasteful number, since it uses less digits than its factorization.

33740137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19163.

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 33740137 is about 5808.6260854009. The cubic root of 33740137 is about 323.1337201572.

The spelling of 33740137 in words is "thirty-three million, seven hundred forty thousand, one hundred thirty-seven".