66407 has 4 divisors (see below), whose sum is σ = 72456. Its totient is φ = 60360.

The previous prime is 66403. The next prime is 66413. The reversal of 66407 is 70466.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 66407 - 2² = 66403 is a prime.

It is a Duffinian number.

66407 is a modest number, since divided by 407 gives 66 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66407.

It is not an unprimeable number, because it can be changed into a prime (66403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3008 + ... + 3029.

It is an arithmetic number, because the mean of its divisors is an integer number (18114).

2⁶⁶⁴⁰⁷ is an apocalyptic number.

66407 is a deficient number, since it is larger than the sum of its proper divisors (6049).

66407 is a wasteful number, since it uses less digits than its factorization.

66407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 66407 is about 257.6955568107. The cubic root of 66407 is about 40.4952999677.

Adding to 66407 its sum of digits (23), we get a triangular number (66430 = T₃₆₄).

It can be divided in two parts, 66 and 407, that multiplied together give a palindrome (26862).

The spelling of 66407 in words is "sixty-six thousand, four hundred seven".