33834393 has 6 divisors (see below), whose sum is σ = 48871914. Its totient is φ = 22556256.

The previous prime is 33834377. The next prime is 33834413. The reversal of 33834393 is 39343833.

It can be written as a sum of positive squares in only one way, i.e., 25522704 + 8311689 = 5052^2 + 2883^2 .

It is not a de Polignac number, because 33834393 - 2⁴ = 33834377 is a prime.

It is a super-2 number, since 2×33834393² = 2289532299356898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33834323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1879680 + ... + 1879697.

It is an arithmetic number, because the mean of its divisors is an integer number (8145319).

Almost surely, 2^33834393 is an apocalyptic number.

It is an amenable number.

33834393 is a deficient number, since it is larger than the sum of its proper divisors (15037521).

33834393 is a wasteful number, since it uses less digits than its factorization.

33834393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759383 (or 3759380 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 33834393 is about 5816.7338773576. The cubic root of 33834393 is about 323.4343410880.

It can be divided in two parts, 3383 and 4393, that added together give a 5-th power (7776 = 6⁵).

The spelling of 33834393 in words is "thirty-three million, eight hundred thirty-four thousand, three hundred ninety-three".