33489936 has 50 divisors (see below), whose sum is σ = 96933342. Its totient is φ = 11162880.

The previous prime is 33489931. The next prime is 33489941. The reversal of 33489936 is 63998433.

It is an interprime number because it is at equal distance from previous prime (33489931) and next prime (33489941).

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 8088336 = 5040^2 + 2844^2 .

It is a super-2 number, since 2×33489936² = 2243151626568192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33489891 and 33489900.

It is not an unprimeable number, because it can be changed into a prime (33489931) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 11625 + ... + 14216.

Almost surely, 2^33489936 is an apocalyptic number.

33489936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33489936 is an abundant number, since it is smaller than the sum of its proper divisors (63443406).

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

33489936 is a wasteful number, since it uses less digits than its factorization.

33489936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25861 (or 25846 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 33489936 is about 5787.0489889062. The cubic root of 33489936 is about 322.3330016949. Note that the first 3 decimals are identical.

The spelling of 33489936 in words is "thirty-three million, four hundred eighty-nine thousand, nine hundred thirty-six".