33083424 has 144 divisors (see below), whose sum is σ = 107079840. Its totient is φ = 9855360.

The previous prime is 33083423. The next prime is 33083429. The reversal of 33083424 is 42438033.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (33083423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560707 + ... + 560765.

It is an arithmetic number, because the mean of its divisors is an integer number (743610).

Almost surely, 2^33083424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33083424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53539920).

33083424 is an abundant number, since it is smaller than the sum of its proper divisors (73996416).

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

33083424 is a wasteful number, since it uses less digits than its factorization.

33083424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 33083424 is about 5751.8191904823. The cubic root of 33083424 is about 321.0234937823.

The spelling of 33083424 in words is "thirty-three million, eighty-three thousand, four hundred twenty-four".