33797016 has 96 divisors (see below), whose sum is σ = 100900800. Its totient is φ = 10134720.

The previous prime is 33796999. The next prime is 33797033. The reversal of 33797016 is 61079733.

It is an interprime number because it is at equal distance from previous prime (33796999) and next prime (33797033).

It is a super-2 number, since 2×33797016² = 2284476581008512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109935 + ... + 110241.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050).

Almost surely, 2^33797016 is an apocalyptic number.

33797016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33797016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450400).

33797016 is an abundant number, since it is smaller than the sum of its proper divisors (67103784).

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

33797016 is a wasteful number, since it uses less digits than its factorization.

33797016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 33797016 is about 5813.5201040334. The cubic root of 33797016 is about 323.3151974334.

The spelling of 33797016 in words is "thirty-three million, seven hundred ninety-seven thousand, sixteen".