33372834 has 32 divisors (see below), whose sum is σ = 73910016. Its totient is φ = 9960720.

The previous prime is 33372827. The next prime is 33372841. The reversal of 33372834 is 43827333.

It is an interprime number because it is at equal distance from previous prime (33372827) and next prime (33372841).

It is a super-2 number, since 2×33372834² = 2227492098383112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 33372795 and 33372804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649 + ... + 8195.

It is an arithmetic number, because the mean of its divisors is an integer number (2309688).

Almost surely, 2^33372834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33372834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36955008).

33372834 is an abundant number, since it is smaller than the sum of its proper divisors (40537182).

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

33372834 is a wasteful number, since it uses less digits than its factorization.

33372834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630.

The product of its digits is 36288, while the sum is 33.

The square root of 33372834 is about 5776.9225371300. The cubic root of 33372834 is about 321.9568696009.

The spelling of 33372834 in words is "thirty-three million, three hundred seventy-two thousand, eight hundred thirty-four".