66362985 has 48 divisors (see below), whose sum is σ = 131184144. Its totient is φ = 30744576.

The previous prime is 66362983. The next prime is 66362987. The reversal of 66362985 is 58926366.

It is a happy number.

66362985 is a `hidden beast` number, since 6 + 636 + 2 + 9 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (66362983) and next prime (66362987).

It can be written as a sum of positive squares in 8 ways, for example, as 10830681 + 55532304 = 3291^2 + 7452^2 .

It is not a de Polignac number, because 66362985 - 2¹ = 66362983 is a prime.

It is a super-2 number, since 2×66362985² = 8808091556220450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 66362985.

It is not an unprimeable number, because it can be changed into a prime (66362983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6609 + ... + 13281.

It is an arithmetic number, because the mean of its divisors is an integer number (2733003).

Almost surely, 2^66362985 is an apocalyptic number.

66362985 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66362985 is a deficient number, since it is larger than the sum of its proper divisors (64821159).

66362985 is a wasteful number, since it uses less digits than its factorization.

66362985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6711 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 66362985 is about 8146.3479547586. The cubic root of 66362985 is about 404.8635113918.

The spelling of 66362985 in words is "sixty-six million, three hundred sixty-two thousand, nine hundred eighty-five".