4252100 has 36 divisors (see below), whose sum is σ = 9340548. Its totient is φ = 1680000.

The previous prime is 4252097. The next prime is 4252103. The reversal of 4252100 is 12524.

It is an interprime number because it is at equal distance from previous prime (4252097) and next prime (4252103).

It can be written as a sum of positive squares in 6 ways, for example, as 179776 + 4072324 = 424^2 + 2018^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252103) 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, 9890 + ... + 10310.

Almost surely, 2^4252100 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 4252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670274).

4252100 is an abundant number, since it is smaller than the sum of its proper divisors (5088448).

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

4252100 is a wasteful number, since it uses less digits than its factorization.

4252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4252100 is about 2062.0620747204. The cubic root of 4252100 is about 162.0072648269.

Adding to 4252100 its reverse (12524), we get a palindrome (4264624).

The spelling of 4252100 in words is "four million, two hundred fifty-two thousand, one hundred".