33961000 has 32 divisors (see below), whose sum is σ = 79471080. Its totient is φ = 13584000.

The previous prime is 33960991. The next prime is 33961003. The reversal of 33961000 is 16933.

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 31158724 = 1674^2 + 5582^2 .

It is not an unprimeable number, because it can be changed into a prime (33961003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15981 + ... + 17980.

Almost surely, 2^33961000 is an apocalyptic number.

It is an amenable number.

33961000 is an abundant number, since it is smaller than the sum of its proper divisors (45510080).

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

33961000 is a wasteful number, since it uses less digits than its factorization.

33961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33982 (or 33968 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 33961000 is about 5827.6067128797. The cubic root of 33961000 is about 323.8372652264.

Adding to 33961000 its reverse (16933), we get a palindrome (33977933).

The spelling of 33961000 in words is "thirty-three million, nine hundred sixty-one thousand".