33821952 has 72 divisors (see below), whose sum is σ = 92029056. Its totient is φ = 11022336.

The previous prime is 33821947. The next prime is 33821969. The reversal of 33821952 is 25912833.

It is a super-2 number, since 2×33821952² = 2287848874180608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35628 + ... + 36564.

Almost surely, 2^33821952 is an apocalyptic number.

33821952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46014528).

33821952 is an abundant number, since it is smaller than the sum of its proper divisors (58207104).

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

33821952 is an equidigital number, since it uses as much as digits as its factorization.

33821952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 33821952 is about 5815.6643644557. The cubic root of 33821952 is about 323.3946936605.

The spelling of 33821952 in words is "thirty-three million, eight hundred twenty-one thousand, nine hundred fifty-two".