33825330 has 128 divisors (see below), whose sum is σ = 112527360. Its totient is φ = 7024320.

The previous prime is 33825329. The next prime is 33825367. The reversal of 33825330 is 3352833.

It is a happy number.

It is a super-2 number, since 2×33825330² = 2288305899217800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33825294 and 33825303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19977 + ... + 21603.

It is an arithmetic number, because the mean of its divisors is an integer number (879120).

Almost surely, 2^33825330 is an apocalyptic number.

33825330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33825330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56263680).

33825330 is an abundant number, since it is smaller than the sum of its proper divisors (78702030).

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

33825330 is a wasteful number, since it uses less digits than its factorization.

33825330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1655 counting only the distinct ones).

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

The square root of 33825330 is about 5815.9547797417. The cubic root of 33825330 is about 323.4054597541.

It can be divided in two parts, 33 and 825330, that multiplied together give a triangular number (27235890 = T₇₃₈₀).

The spelling of 33825330 in words is "thirty-three million, eight hundred twenty-five thousand, three hundred thirty".