33290730 has 96 divisors (see below), whose sum is σ = 97675200. Its totient is φ = 8062560.

The previous prime is 33290723. The next prime is 33290737. The reversal of 33290730 is 3709233.

It is an interprime number because it is at equal distance from previous prime (33290723) and next prime (33290737).

It is a super-2 number, since 2×33290730² = 2216545407865800, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33290694 and 33290703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33290737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32161 + ... + 33179.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 2^33290730 is an apocalyptic number.

33290730 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 33290730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48837600).

33290730 is an abundant number, since it is smaller than the sum of its proper divisors (64384470).

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

33290730 is a wasteful number, since it uses less digits than its factorization.

33290730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 33290730 is about 5769.8119553414. The cubic root of 33290730 is about 321.6926261932.

Adding to 33290730 its reverse (3709233), we get a palindrome (36999963).

The spelling of 33290730 in words is "thirty-three million, two hundred ninety thousand, seven hundred thirty".