33420753 has 12 divisors (see below), whose sum is σ = 50815440. Its totient is φ = 21107736.

The previous prime is 33420733. The next prime is 33420763. The reversal of 33420753 is 35702433.

It is not a de Polignac number, because 33420753 - 2⁵ = 33420721 is a prime.

It is a super-3 number, since 3×33420753³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33420703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97551 + ... + 97892.

It is an arithmetic number, because the mean of its divisors is an integer number (4234620).

Almost surely, 2^33420753 is an apocalyptic number.

It is an amenable number.

33420753 is a deficient number, since it is larger than the sum of its proper divisors (17394687).

33420753 is a wasteful number, since it uses less digits than its factorization.

33420753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195468 (or 195465 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 33420753 is about 5781.0684998536. The cubic root of 33420753 is about 322.1108918115.

The spelling of 33420753 in words is "thirty-three million, four hundred twenty thousand, seven hundred fifty-three".