33382965 has 48 divisors (see below), whose sum is σ = 67798080. Its totient is φ = 13870080.

The previous prime is 33382961. The next prime is 33382969. The reversal of 33382965 is 56928333.

It is an interprime number because it is at equal distance from previous prime (33382961) and next prime (33382969).

It is not a de Polignac number, because 33382965 - 2² = 33382961 is a prime.

It is a super-2 number, since 2×33382965² = 2228844704382450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33382961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6021 + ... + 10149.

It is an arithmetic number, because the mean of its divisors is an integer number (1412460).

Almost surely, 2^33382965 is an apocalyptic number.

33382965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33382965 is an abundant number, since it is smaller than the sum of its proper divisors (34415115).

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

33382965 is a wasteful number, since it uses less digits than its factorization.

33382965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4155 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 33382965 is about 5777.7993215410. The cubic root of 33382965 is about 321.9894451487.

The spelling of 33382965 in words is "thirty-three million, three hundred eighty-two thousand, nine hundred sixty-five".