109657 has 4 divisors (see below), whose sum is σ = 111780. Its totient is φ = 107536.

The previous prime is 109639. The next prime is 109661. The reversal of 109657 is 756901.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 756901 = 41 ⋅18461.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 63001 = 216^2 + 251^2 .

It is a cyclic number.

It is not a de Polignac number, because 109657 - 2¹¹ = 107609 is a prime.

It is a Duffinian number.

109657 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (109357) 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, 982 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (27945).

2¹⁰⁹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

109657 is a deficient number, since it is larger than the sum of its proper divisors (2123).

109657 is an equidigital number, since it uses as much as digits as its factorization.

109657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 109657 is about 331.1449833532. The cubic root of 109657 is about 47.8643449896.

The spelling of 109657 in words is "one hundred nine thousand, six hundred fifty-seven".