33816820 has 24 divisors (see below), whose sum is σ = 71722728. Its totient is φ = 13392000.

The previous prime is 33816817. The next prime is 33816821. The reversal of 33816820 is 2861833.

It can be written as a sum of positive squares in 4 ways, for example, as 21734244 + 12082576 = 4662^2 + 3476^2 .

It is a super-2 number, since 2×33816820² = 2287154629824800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33816821) 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, 6351 + ... + 10390.

It is an arithmetic number, because the mean of its divisors is an integer number (2988447).

Almost surely, 2^33816820 is an apocalyptic number.

It is an amenable number.

33816820 is an abundant number, since it is smaller than the sum of its proper divisors (37905908).

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

33816820 is a wasteful number, since it uses less digits than its factorization.

33816820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16851 (or 16849 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 33816820 is about 5815.2231255559. The cubic root of 33816820 is about 323.3783359852.

It can be divided in two parts, 3381 and 6820, that added together give a palindrome (10201).

The spelling of 33816820 in words is "thirty-three million, eight hundred sixteen thousand, eight hundred twenty".