33785052 has 96 divisors (see below), whose sum is σ = 97251840. Its totient is φ = 8908800.

The previous prime is 33785051. The next prime is 33785053. The reversal of 33785052 is 25058733.

It is an interprime number because it is at equal distance from previous prime (33785051) and next prime (33785053).

It is a super-2 number, since 2×33785052² = 2282859477285408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33785051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84052 + ... + 84452.

It is an arithmetic number, because the mean of its divisors is an integer number (1013040).

Almost surely, 2^33785052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33785052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48625920).

33785052 is an abundant number, since it is smaller than the sum of its proper divisors (63466788).

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

33785052 is a wasteful number, since it uses less digits than its factorization.

33785052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 33785052 is about 5812.4910322511. The cubic root of 33785052 is about 323.2770421956.

The spelling of 33785052 in words is "thirty-three million, seven hundred eighty-five thousand, fifty-two".