33420429 has 24 divisors (see below), whose sum is σ = 55323840. Its totient is φ = 19044288.

The previous prime is 33420407. The next prime is 33420451. The reversal of 33420429 is 92402433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33420407) and next prime (33420451).

It is not a de Polignac number, because 33420429 - 2¹² = 33416333 is a prime.

It is a super-2 number, since 2×33420429² = 2233850149088082, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33420329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38569 + ... + 39425.

It is an arithmetic number, because the mean of its divisors is an integer number (2305160).

Almost surely, 2^33420429 is an apocalyptic number.

It is an amenable number.

33420429 is a deficient number, since it is larger than the sum of its proper divisors (21903411).

33420429 is a wasteful number, since it uses less digits than its factorization.

33420429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33420429 is about 5781.0404772843. The cubic root of 33420429 is about 322.1098508987.

It can be divided in two parts, 334 and 20429, that multiplied together give a palindrome (6823286).

The spelling of 33420429 in words is "thirty-three million, four hundred twenty thousand, four hundred twenty-nine".