33800931 has 12 divisors (see below), whose sum is σ = 48929400. Its totient is φ = 22485120.

The previous prime is 33800903. The next prime is 33800939. The reversal of 33800931 is 13900833.

It is not a de Polignac number, because 33800931 - 2⁹ = 33800419 is a prime.

It is a super-2 number, since 2×33800931² = 2285005872933522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33800895 and 33800904.

It is not an unprimeable number, because it can be changed into a prime (33800939) 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 11 ways as a sum of consecutive naturals, for example, 595 + ... + 8243.

It is an arithmetic number, because the mean of its divisors is an integer number (4077450).

Almost surely, 2^33800931 is an apocalyptic number.

33800931 is a deficient number, since it is larger than the sum of its proper divisors (15128469).

33800931 is a wasteful number, since it uses less digits than its factorization.

33800931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 33800931 is about 5813.8568093822. The cubic root of 33800931 is about 323.3276810812.

The spelling of 33800931 in words is "thirty-three million, eight hundred thousand, nine hundred thirty-one".