64757 has 12 divisors (see below), whose sum is σ = 83616. Its totient is φ = 48720.

The previous prime is 64747. The next prime is 64763. The reversal of 64757 is 75746.

It is not a de Polignac number, because 64757 - 2⁶ = 64693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

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 64757.

It is not an unprimeable number, because it can be changed into a prime (64717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2219 + ... + 2247.

It is an arithmetic number, because the mean of its divisors is an integer number (6968).

2⁶⁴⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

64757 is a deficient number, since it is larger than the sum of its proper divisors (18859).

64757 is a wasteful number, since it uses less digits than its factorization.

64757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 64757 is about 254.4739672344. The cubic root of 64757 is about 40.1570905894.

The spelling of 64757 in words is "sixty-four thousand, seven hundred fifty-seven".