33742997 has 2 divisors, whose sum is σ = 33742998. Its totient is φ = 33742996.

The previous prime is 33742981. The next prime is 33742999. The reversal of 33742997 is 79924733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32364721 + 1378276 = 5689^2 + 1174^2 .

It is a cyclic number.

It is not a de Polignac number, because 33742997 - 2⁴ = 33742981 is a prime.

It is a super-2 number, since 2×33742997² = 2277179693084018, which contains 22 as substring.

Together with 33742999, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33742999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16871498 + 16871499.

It is an arithmetic number, because the mean of its divisors is an integer number (16871499).

Almost surely, 2^33742997 is an apocalyptic number.

It is an amenable number.

33742997 is a deficient number, since it is larger than the sum of its proper divisors (1).

33742997 is an equidigital number, since it uses as much as digits as its factorization.

33742997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 285768, while the sum is 44.

The square root of 33742997 is about 5808.8722657673. The cubic root of 33742997 is about 323.1428500977.

It can be divided in two parts, 337 and 42997, that added together give a palindrome (43334).

The spelling of 33742997 in words is "thirty-three million, seven hundred forty-two thousand, nine hundred ninety-seven".