64657 has 8 divisors (see below), whose sum is σ = 70560. Its totient is φ = 59040.

The previous prime is 64633. The next prime is 64661. The reversal of 64657 is 75646.

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

It is a de Polignac number, because none of the positive numbers 2^k-64657 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (64627) 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, 738 + ... + 820.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁶⁴⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

64657 is a deficient number, since it is larger than the sum of its proper divisors (5903).

64657 is a wasteful number, since it uses less digits than its factorization.

64657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 5040, while the sum is 28.

The square root of 64657 is about 254.2774075690. The cubic root of 64657 is about 40.1364092839.

It can be divided in two parts, 646 and 57, that added together give a triangular number (703 = T₃₇).

The spelling of 64657 in words is "sixty-four thousand, six hundred fifty-seven".