66575349 has 24 divisors (see below), whose sum is σ = 104314392. Its totient is φ = 40750080.

The previous prime is 66575279. The next prime is 66575371. The reversal of 66575349 is 94357566.

66575349 is a `hidden beast` number, since 66 + 57 + 534 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23213124 + 43362225 = 4818^2 + 6585^2 .

It is not a de Polignac number, because 66575349 - 2¹¹ = 66573301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66575549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967 + ... + 11579.

It is an arithmetic number, because the mean of its divisors is an integer number (4346433).

Almost surely, 2^66575349 is an apocalyptic number.

It is an amenable number.

66575349 is a deficient number, since it is larger than the sum of its proper divisors (37739043).

66575349 is a wasteful number, since it uses less digits than its factorization.

66575349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10677 (or 10674 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 66575349 is about 8159.3718508228. The cubic root of 66575349 is about 405.2949109441.

The spelling of 66575349 in words is "sixty-six million, five hundred seventy-five thousand, three hundred forty-nine".