33133870 has 64 divisors (see below), whose sum is σ = 76432896. Its totient is φ = 10039680.

The previous prime is 33133831. The next prime is 33133879. The reversal of 33133870 is 7833133.

33133870 is a nontrivial binomial coefficient, being equal to C(8141, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33133879) 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, 27909 + ... + 29071.

It is an arithmetic number, because the mean of its divisors is an integer number (1194264).

Almost surely, 2^33133870 is an apocalyptic number.

33133870 is the 8140-th triangular number.

33133870 is the 2714-th centered nonagonal number.

33133870 is an abundant number, since it is smaller than the sum of its proper divisors (43299026).

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

33133870 is a wasteful number, since it uses less digits than its factorization.

33133870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 33133870 is about 5756.2027413912. The cubic root of 33133870 is about 321.1865777385.

It can be divided in two parts, 33 and 133870, that added together give a triangular number (133903 = T₅₁₇).

The spelling of 33133870 in words is "thirty-three million, one hundred thirty-three thousand, eight hundred seventy".