33961842 has 40 divisors (see below), whose sum is σ = 78734700. Its totient is φ = 10928736.

The previous prime is 33961841. The next prime is 33961843. The reversal of 33961842 is 24816933.

33961842 is a `hidden beast` number, since 3 + 39 + 618 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (33961841) and next prime (33961843).

It can be written as a sum of positive squares in 2 ways, for example, as 29257281 + 4704561 = 5409^2 + 2169^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33961797 and 33961806.

It is not an unprimeable number, because it can be changed into a prime (33961841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1084 + ... + 8312.

Almost surely, 2^33961842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33961842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39367350).

33961842 is an abundant number, since it is smaller than the sum of its proper divisors (44772858).

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

33961842 is a wasteful number, since it uses less digits than its factorization.

33961842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272 (or 7263 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 33961842 is about 5827.6789547812. The cubic root of 33961842 is about 323.8399415190.

The spelling of 33961842 in words is "thirty-three million, nine hundred sixty-one thousand, eight hundred forty-two".