33797790 has 64 divisors (see below), whose sum is σ = 97070400. Its totient is φ = 8318592.

The previous prime is 33797783. The next prime is 33797809. The reversal of 33797790 is 9779733.

33797790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33797790² = 2284581217768200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (1516725).

Almost surely, 2^33797790 is an apocalyptic number.

33797790 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 33797790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48535200).

33797790 is an abundant number, since it is smaller than the sum of its proper divisors (63272610).

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

33797790 is a wasteful number, since it uses less digits than its factorization.

33797790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 250047, while the sum is 45.

The square root of 33797790 is about 5813.5866726144. The cubic root of 33797790 is about 323.3176655414.

The spelling of 33797790 in words is "thirty-three million, seven hundred ninety-seven thousand, seven hundred ninety".