66033825 has 96 divisors (see below), whose sum is σ = 131991552. Its totient is φ = 28704000.

The previous prime is 66033823. The next prime is 66033827. The reversal of 66033825 is 52833066.

It is an interprime number because it is at equal distance from previous prime (66033823) and next prime (66033827).

It is not a de Polignac number, because 66033825 - 2¹ = 66033823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66033823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 504010 + ... + 504140.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^66033825 is an apocalyptic number.

66033825 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66033825 is a deficient number, since it is larger than the sum of its proper divisors (65957727).

66033825 is a wasteful number, since it uses less digits than its factorization.

66033825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 66033825 is about 8126.1199228168. The cubic root of 66033825 is about 404.1930281220.

The spelling of 66033825 in words is "sixty-six million, thirty-three thousand, eight hundred twenty-five".