852138 has 24 divisors (see below), whose sum is σ = 2110368. Its totient is φ = 243432.

The previous prime is 852121. The next prime is 852139. The reversal of 852138 is 831258.

It is a happy number.

It is a super-2 number, since 2×852138² = 1452278342088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (852139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3256 + ... + 3507.

It is an arithmetic number, because the mean of its divisors is an integer number (87932).

2⁸⁵²¹³⁸ is an apocalyptic number.

852138 is an abundant number, since it is smaller than the sum of its proper divisors (1258230).

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

852138 is a wasteful number, since it uses less digits than its factorization.

852138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778 (or 6775 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 852138 is about 923.1132108252. The cubic root of 852138 is about 94.8061791625.

Adding to 852138 its sum of digits (27), we get a triangular number (852165 = T₁₃₀₅).

It can be divided in two parts, 852 and 138, that added together give a triangular number (990 = T₄₄).

The spelling of 852138 in words is "eight hundred fifty-two thousand, one hundred thirty-eight".