66351 has 8 divisors (see below), whose sum is σ = 93744. Its totient is φ = 41600.

The previous prime is 66347. The next prime is 66359. The reversal of 66351 is 15366.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66351 - 2² = 66347 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 663 and 51 contains 66351 itself.

It is a d-powerful number, because it can be written as 6 + 6⁶ + 3⁹ + 5 + 1 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600 + ... + 701.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

It is the magic constant of a 51 × 51 magic square.

2⁶⁶³⁵¹ is an apocalyptic number.

66351 is a deficient number, since it is larger than the sum of its proper divisors (27393).

66351 is a wasteful number, since it uses less digits than its factorization.

66351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321.

The product of its digits is 540, while the sum is 21.

The square root of 66351 is about 257.5868785478. The cubic root of 66351 is about 40.4839137456.

The spelling of 66351 in words is "sixty-six thousand, three hundred fifty-one".