33082464 has 48 divisors (see below), whose sum is σ = 90623232. Its totient is φ = 10547328.

The previous prime is 33082463. The next prime is 33082513. The reversal of 33082464 is 46428033.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33082464² = 2188898848622592, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33082463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5284 + ... + 9699.

It is an arithmetic number, because the mean of its divisors is an integer number (1887984).

Almost surely, 2^33082464 is an apocalyptic number.

It is an amenable number.

33082464 is an abundant number, since it is smaller than the sum of its proper divisors (57540768).

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

33082464 is a wasteful number, since it uses less digits than its factorization.

33082464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15019 (or 15011 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 33082464 is about 5751.7357380186. The cubic root of 33082464 is about 321.0203886468.

The spelling of 33082464 in words is "thirty-three million, eighty-two thousand, four hundred sixty-four".