33873010 has 32 divisors (see below), whose sum is σ = 67962240. Its totient is φ = 12079872.

The previous prime is 33872977. The next prime is 33873013. The reversal of 33873010 is 1037833.

It is a super-2 number, since 2×33873010² = 2294761612920200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33873013) 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 15 ways as a sum of consecutive naturals, for example, 2014 + ... + 8473.

It is an arithmetic number, because the mean of its divisors is an integer number (2123820).

Almost surely, 2^33873010 is an apocalyptic number.

33873010 is an abundant number, since it is smaller than the sum of its proper divisors (34089230).

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

33873010 is a wasteful number, since it uses less digits than its factorization.

33873010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10530.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 33873010 is about 5820.0524052623. The cubic root of 33873010 is about 323.5573452660.

It can be divided in two parts, 3387 and 3010, that multiplied together give a triangular number (10194870 = T₄₅₁₅).

The spelling of 33873010 in words is "thirty-three million, eight hundred seventy-three thousand, ten".