249102 has 32 divisors (see below), whose sum is σ = 633600. Its totient is φ = 71064.

The previous prime is 249097. The next prime is 249103. The reversal of 249102 is 201942.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249102.

It is not an unprimeable number, because it can be changed into a prime (249103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2²⁴⁹¹⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316800).

249102 is an abundant number, since it is smaller than the sum of its proper divisors (384498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249102 is a wasteful number, since it uses less digits than its factorization.

249102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 249102 is about 499.1011921444. The cubic root of 249102 is about 62.9205347290.

It can be divided in two parts, 249 and 102, that added together give a triangular number (351 = T₂₆).

The spelling of 249102 in words is "two hundred forty-nine thousand, one hundred two".