102267 has 12 divisors (see below), whose sum is σ = 161304. Its totient is φ = 61920.

The previous prime is 102259. The next prime is 102293. The reversal of 102267 is 762201.

It is a happy number.

It is not a de Polignac number, because 102267 - 2³ = 102259 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (102217) 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, 418 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (13442).

2¹⁰²²⁶⁷ is an apocalyptic number.

102267 is a deficient number, since it is larger than the sum of its proper divisors (59037).

102267 is a wasteful number, since it uses less digits than its factorization.

102267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 102267 is about 319.7921199780. The cubic root of 102267 is about 46.7640201213.

Adding to 102267 its reverse (762201), we get a palindrome (864468).

It can be divided in two parts, 1022 and 67, that added together give a square (1089 = 33²).

The spelling of 102267 in words is "one hundred two thousand, two hundred sixty-seven".