33857442 has 48 divisors (see below), whose sum is σ = 77982840. Its totient is φ = 10596096.

The previous prime is 33857441. The next prime is 33857497. The reversal of 33857442 is 24475833.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27154521 + 6702921 = 5211^2 + 2589^2 .

It is a super-3 number, since 3×33857442³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 33857397 and 33857406.

It is not an unprimeable number, because it can be changed into a prime (33857441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18438 + ... + 20190.

Almost surely, 2^33857442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33857442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38991420).

33857442 is an abundant number, since it is smaller than the sum of its proper divisors (44125398).

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

33857442 is a wasteful number, since it uses less digits than its factorization.

33857442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1824 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 33857442 is about 5818.7148065531. The cubic root of 33857442 is about 323.5077687975.

The spelling of 33857442 in words is "thirty-three million, eight hundred fifty-seven thousand, four hundred forty-two".