4123252 has 36 divisors (see below), whose sum is σ = 8514660. Its totient is φ = 1741824.

The previous prime is 4123211. The next prime is 4123253. The reversal of 4123252 is 2523214.

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 2202256 = 1386^2 + 1484^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123253) 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, 21268 + ... + 21460.

Almost surely, 2^4123252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257330).

4123252 is an abundant number, since it is smaller than the sum of its proper divisors (4391408).

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

4123252 is a wasteful number, since it uses less digits than its factorization.

4123252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 4123252 is about 2030.5792277082. The cubic root of 4123252 is about 160.3540596830.

Adding to 4123252 its reverse (2523214), we get a palindrome (6646466).

It can be divided in two parts, 4 and 123252, that added together give a triangular number (123256 = T₄₉₆).

The spelling of 4123252 in words is "four million, one hundred twenty-three thousand, two hundred fifty-two".