33126345 has 48 divisors (see below), whose sum is σ = 66323712. Its totient is φ = 14981760.

The previous prime is 33126343. The next prime is 33126349. The reversal of 33126345 is 54362133.

It is a happy number.

33126345 is a `hidden beast` number, since 3 + 312 + 6 + 345 = 666.

33126345 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 33126345 - 2¹ = 33126343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33126343) 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 47 ways as a sum of consecutive naturals, for example, 31935 + ... + 32955.

It is an arithmetic number, because the mean of its divisors is an integer number (1381744).

Almost surely, 2^33126345 is an apocalyptic number.

33126345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33126345 is an abundant number, since it is smaller than the sum of its proper divisors (33197367).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33126345 is a wasteful number, since it uses less digits than its factorization.

33126345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1139 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 33126345 is about 5755.5490615579. The cubic root of 33126345 is about 321.1622611104.

Adding to 33126345 its reverse (54362133), we get a palindrome (87488478).

The spelling of 33126345 in words is "thirty-three million, one hundred twenty-six thousand, three hundred forty-five".