33972509 has 2 divisors, whose sum is σ = 33972510. Its totient is φ = 33972508.

The previous prime is 33972503. The next prime is 33972517. The reversal of 33972509 is 90527933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28783225 + 5189284 = 5365^2 + 2278^2 .

It is a cyclic number.

It is not a de Polignac number, because 33972509 - 2²⁴ = 17195293 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33972503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16986254 + 16986255.

It is an arithmetic number, because the mean of its divisors is an integer number (16986255).

Almost surely, 2^33972509 is an apocalyptic number.

It is an amenable number.

33972509 is a deficient number, since it is larger than the sum of its proper divisors (1).

33972509 is an equidigital number, since it uses as much as digits as its factorization.

33972509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51030, while the sum is 38.

The square root of 33972509 is about 5828.5940843397. The cubic root of 33972509 is about 323.8738426941.

The spelling of 33972509 in words is "thirty-three million, nine hundred seventy-two thousand, five hundred nine".