33225738 has 96 divisors (see below), whose sum is σ = 85450752. Its totient is φ = 8424000.

The previous prime is 33225727. The next prime is 33225749. The reversal of 33225738 is 83752233.

It is an interprime number because it is at equal distance from previous prime (33225727) and next prime (33225749).

It is a super-2 number, since 2×33225738² = 2207899331289288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33225699 and 33225708.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219963 + ... + 220113.

It is an arithmetic number, because the mean of its divisors is an integer number (890112).

Almost surely, 2^33225738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33225738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42725376).

33225738 is an abundant number, since it is smaller than the sum of its proper divisors (52225014).

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

33225738 is a wasteful number, since it uses less digits than its factorization.

33225738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 33225738 is about 5764.1771312131. The cubic root of 33225738 is about 321.4831477839.

The spelling of 33225738 in words is "thirty-three million, two hundred twenty-five thousand, seven hundred thirty-eight".