66584053 has 12 divisors (see below), whose sum is σ = 72483012. Its totient is φ = 60952320.

The previous prime is 66584051. The next prime is 66584083. The reversal of 66584053 is 35048566.

It can be written as a sum of positive squares in 6 ways, for example, as 23261329 + 43322724 = 4823^2 + 6582^2 .

It is not a de Polignac number, because 66584053 - 2¹ = 66584051 is a prime.

It is a super-2 number, since 2×66584053² = 8866872227813618, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66584051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21843 + ... + 24703.

It is an arithmetic number, because the mean of its divisors is an integer number (6040251).

Almost surely, 2^66584053 is an apocalyptic number.

It is an amenable number.

66584053 is a deficient number, since it is larger than the sum of its proper divisors (5898959).

66584053 is a wasteful number, since it uses less digits than its factorization.

66584053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 66584053 is about 8159.9052077827. The cubic root of 66584053 is about 405.3125728026.

The spelling of 66584053 in words is "sixty-six million, five hundred eighty-four thousand, fifty-three".