33972645 has 16 divisors (see below), whose sum is σ = 62121600. Its totient is φ = 15530304.

The previous prime is 33972611. The next prime is 33972671. The reversal of 33972645 is 54627933.

It is not a de Polignac number, because 33972645 - 2⁶ = 33972581 is a prime.

It is a super-4 number, since 4×33972645⁴ (a number of 31 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161670 + ... + 161879.

It is an arithmetic number, because the mean of its divisors is an integer number (3882600).

Almost surely, 2^33972645 is an apocalyptic number.

33972645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33972645 is a deficient number, since it is larger than the sum of its proper divisors (28148955).

33972645 is a wasteful number, since it uses less digits than its factorization.

33972645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323564.

The product of its digits is 136080, while the sum is 39.

The square root of 33972645 is about 5828.6057509494. The cubic root of 33972645 is about 323.8742748748.

The spelling of 33972645 in words is "thirty-three million, nine hundred seventy-two thousand, six hundred forty-five".