10182852 has 36 divisors (see below), whose sum is σ = 26167596. Its totient is φ = 3337920.

The previous prime is 10182839. The next prime is 10182901. The reversal of 10182852 is 25828101.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 8964036 = 1104^2 + 2994^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123 + ... + 4514.

Almost surely, 2^10182852 is an apocalyptic number.

10182852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10182852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083798).

10182852 is an abundant number, since it is smaller than the sum of its proper divisors (15984744).

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

10182852 is a wasteful number, since it uses less digits than its factorization.

10182852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10182852 is about 3191.0581317174. The cubic root of 10182852 is about 216.7486879468.

The spelling of 10182852 in words is "ten million, one hundred eighty-two thousand, eight hundred fifty-two".