101667 has 4 divisors (see below), whose sum is σ = 135560. Its totient is φ = 67776.

The previous prime is 101663. The next prime is 101681. The reversal of 101667 is 766101.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 101667 - 2² = 101663 is a prime.

It is a D-number.

It is a Duffinian number.

101667 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101663) 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, 16942 + ... + 16947.

It is an arithmetic number, because the mean of its divisors is an integer number (33890).

2¹⁰¹⁶⁶⁷ is an apocalyptic number.

101667 is a deficient number, since it is larger than the sum of its proper divisors (33893).

101667 is an equidigital number, since it uses as much as digits as its factorization.

101667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33892.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 101667 is about 318.8526305364. The cubic root of 101667 is about 46.6723859204.

Adding to 101667 its reverse (766101), we get a palindrome (867768).

The spelling of 101667 in words is "one hundred one thousand, six hundred sixty-seven".