33972947 has 8 divisors (see below), whose sum is σ = 34817040. Its totient is φ = 33136480.

The previous prime is 33972943. The next prime is 33972971. The reversal of 33972947 is 74927933.

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

It is not a de Polignac number, because 33972947 - 2² = 33972943 is a prime.

It is a super-2 number, since 2×33972947² = 2308322255729618, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33972898 and 33972907.

It is not an unprimeable number, because it can be changed into a prime (33972941) 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, 7697 + ... + 11277.

It is an arithmetic number, because the mean of its divisors is an integer number (4352130).

Almost surely, 2^33972947 is an apocalyptic number.

33972947 is a deficient number, since it is larger than the sum of its proper divisors (844093).

33972947 is a wasteful number, since it uses less digits than its factorization.

33972947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813.

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

The square root of 33972947 is about 5828.6316576020. The cubic root of 33972947 is about 323.8752345660.

The spelling of 33972947 in words is "thirty-three million, nine hundred seventy-two thousand, nine hundred forty-seven".