33820169 has 8 divisors (see below), whose sum is σ = 34614600. Its totient is φ = 33042480.

The previous prime is 33820159. The next prime is 33820181. The reversal of 33820169 is 96102833.

It can be written as a sum of positive squares in 4 ways, for example, as 27510025 + 6310144 = 5245^2 + 2512^2 .

It is not a de Polignac number, because 33820169 - 2²⁴ = 17042953 is a prime.

It is a super-2 number, since 2×33820169² = 2287607662377122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33820159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226907 + ... + 227055.

It is an arithmetic number, because the mean of its divisors is an integer number (4326825).

Almost surely, 2^33820169 is an apocalyptic number.

It is an amenable number.

33820169 is a deficient number, since it is larger than the sum of its proper divisors (794431).

33820169 is an frugal number, since it uses more digits than its factorization.

33820169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 33820169 is about 5815.5110695450. The cubic root of 33820169 is about 323.3890107352.

The spelling of 33820169 in words is "thirty-three million, eight hundred twenty thousand, one hundred sixty-nine".