66813527 has 16 divisors (see below), whose sum is σ = 75382272. Its totient is φ = 58684320.

The previous prime is 66813521. The next prime is 66813533. The reversal of 66813527 is 72531866.

It is an interprime number because it is at equal distance from previous prime (66813521) and next prime (66813533).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66813527 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66813521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67478 + ... + 68460.

It is an arithmetic number, because the mean of its divisors is an integer number (4711392).

Almost surely, 2^66813527 is an apocalyptic number.

66813527 is a deficient number, since it is larger than the sum of its proper divisors (8568745).

66813527 is a wasteful number, since it uses less digits than its factorization.

66813527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198.

The product of its digits is 60480, while the sum is 38.

The square root of 66813527 is about 8173.9541838696. The cubic root of 66813527 is about 405.7776594084. Note that the first 3 decimals are identical.

It can be divided in two parts, 668 and 13527, that multiplied together give a square (9036036 = 3006²).

The spelling of 66813527 in words is "sixty-six million, eight hundred thirteen thousand, five hundred twenty-seven".