330825033 has 64 divisors (see below), whose sum is σ = 614615040. Its totient is φ = 170856000.

The previous prime is 330825013. The next prime is 330825043. The reversal of 330825033 is 330528033.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-330825033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 330824988 and 330825006.

It is not an unprimeable number, because it can be changed into a prime (330825013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471583 + ... + 472283.

It is an arithmetic number, because the mean of its divisors is an integer number (9603360).

Almost surely, 2^330825033 is an apocalyptic number.

330825033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330825033 is a deficient number, since it is larger than the sum of its proper divisors (283790007).

330825033 is a wasteful number, since it uses less digits than its factorization.

330825033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 330825033 is about 18188.5962350040. The cubic root of 330825033 is about 691.6177353750.

The spelling of 330825033 in words is "three hundred thirty million, eight hundred twenty-five thousand, thirty-three".