33554431 has 8 divisors (see below), whose sum is σ = 34713728. Its totient is φ = 32400000.

The previous prime is 33554393. The next prime is 33554467. The reversal of 33554431 is 13445533.

33554431 is nontrivially palindromic in base 2.

It is a Cunningham number, because it is equal to 2²⁵-1.

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

It is a 7-Lehmer number, since φ(33554431) divides (33554431-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 33554431 - 2¹³ = 33546239 is a prime.

It is a super-3 number, since 3×33554431³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

33554431 is a nontrivial repdigit in base 2.

It is a plaindrome in base 2, base 4, base 8 and base 16.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33554431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33554831) by changing a digit.

It is a nontrivial repunit in base 2.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17731 + ... + 19531.

It is an arithmetic number, because the mean of its divisors is an integer number (4339216).

Almost surely, 2^33554431 is an apocalyptic number.

33554431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

33554431 is a deficient number, since it is larger than the sum of its proper divisors (1159297).

33554431 is a wasteful number, since it uses less digits than its factorization.

33554431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433.

The product of its digits is 10800, while the sum is 28.

The square root of 33554431 is about 5792.6186651635. The cubic root of 33554431 is about 322.5397855689.

Adding to 33554431 its reverse (13445533), we get a palindrome (46999964).

The spelling of 33554431 in words is "thirty-three million, five hundred fifty-four thousand, four hundred thirty-one".