252036 has 18 divisors (see below), whose sum is σ = 637182. Its totient is φ = 84000.

The previous prime is 252029. The next prime is 252037. The reversal of 252036 is 630252.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 44100 = 456^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252037) by changing a digit.

252036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3465 + ... + 3536.

It is an arithmetic number, because the mean of its divisors is an integer number (35399).

2²⁵²⁰³⁶ is an apocalyptic number.

It is an amenable number.

252036 is an abundant number, since it is smaller than the sum of its proper divisors (385146).

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

252036 is a wasteful number, since it uses less digits than its factorization.

252036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 252036 is about 502.0318714982. The cubic root of 252036 is about 63.1666036236.

Adding to 252036 its reverse (630252), we get a palindrome (882288).

It can be divided in two parts, 2520 and 36, that added together give a triangular number (2556 = T₇₁).

The spelling of 252036 in words is "two hundred fifty-two thousand, thirty-six".