73657 has 4 divisors (see below), whose sum is σ = 74740. Its totient is φ = 72576.

The previous prime is 73651. The next prime is 73673. The reversal of 73657 is 75637.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 75637 = 43 ⋅1759.

It can be written as a sum of positive squares in 2 ways, for example, as 32041 + 41616 = 179^2 + 204^2 .

It is a cyclic number.

It is not a de Polignac number, because 73657 - 2⁷ = 73529 is a prime.

It is a Duffinian number.

73657 is a modest number, since divided by 657 gives 73 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 432 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (18685).

2⁷³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

73657 is a deficient number, since it is larger than the sum of its proper divisors (1083).

73657 is a wasteful number, since it uses less digits than its factorization.

73657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082.

The product of its digits is 4410, while the sum is 28.

The square root of 73657 is about 271.3982313870. The cubic root of 73657 is about 41.9183978687.

It can be divided in two parts, 73 and 657, that multiplied together give a square (47961 = 219²).

The spelling of 73657 in words is "seventy-three thousand, six hundred fifty-seven".