107627 has 8 divisors (see below), whose sum is σ = 122976. Its totient is φ = 93312.

The previous prime is 107621. The next prime is 107641. The reversal of 107627 is 726701.

It is a happy number.

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 107627 - 2⁶ = 107563 is a prime.

It is a super-2 number, since 2×107627² = 23167142258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107621) 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, 23 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (15372).

2¹⁰⁷⁶²⁷ is an apocalyptic number.

107627 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

107627 is a deficient number, since it is larger than the sum of its proper divisors (15349).

107627 is a wasteful number, since it uses less digits than its factorization.

107627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 107627 is about 328.0655422320. The cubic root of 107627 is about 47.5671441933.

The spelling of 107627 in words is "one hundred seven thousand, six hundred twenty-seven".