33497772 has 72 divisors (see below), whose sum is σ = 99207360. Its totient is φ = 8699040.

The previous prime is 33497753. The next prime is 33497773. The reversal of 33497772 is 27779433.

It is a super-2 number, since 2×33497772² = 2244201457927968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (33497773) 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, 3879 + ... + 9057.

It is an arithmetic number, because the mean of its divisors is an integer number (1377880).

Almost surely, 2^33497772 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 33497772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49603680).

33497772 is an abundant number, since it is smaller than the sum of its proper divisors (65709588).

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

33497772 is a wasteful number, since it uses less digits than its factorization.

33497772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211 (or 5202 counting only the distinct ones).

The product of its digits is 222264, while the sum is 42.

The square root of 33497772 is about 5787.7259783096. The cubic root of 33497772 is about 322.3581396392.

The spelling of 33497772 in words is "thirty-three million, four hundred ninety-seven thousand, seven hundred seventy-two".