33821874 has 40 divisors (see below), whose sum is σ = 80250588. Its totient is φ = 10609920.

The previous prime is 33821873. The next prime is 33821903. The reversal of 33821874 is 47812833.

It can be written as a sum of positive squares in 2 ways, for example, as 29648025 + 4173849 = 5445^2 + 2043^2 .

It is a super-2 number, since 2×33821874² = 2287838321743752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33821873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3387 + ... + 8894.

Almost surely, 2^33821874 is an apocalyptic number.

33821874 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

33821874 is an abundant number, since it is smaller than the sum of its proper divisors (46428714).

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

33821874 is a wasteful number, since it uses less digits than its factorization.

33821874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12312 (or 12303 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 33821874 is about 5815.6576584252. The cubic root of 33821874 is about 323.3944450566.

The spelling of 33821874 in words is "thirty-three million, eight hundred twenty-one thousand, eight hundred seventy-four".