3852953 has 12 divisors (see below), whose sum is σ = 4384548. Its totient is φ = 3365280.

The previous prime is 3852949. The next prime is 3852973. The reversal of 3852953 is 3592583.

It can be written as a sum of positive squares in 2 ways, for example, as 797449 + 3055504 = 893^2 + 1748^2 .

It is not a de Polignac number, because 3852953 - 2² = 3852949 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3852913) 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, 4283 + ... + 5103.

It is an arithmetic number, because the mean of its divisors is an integer number (365379).

Almost surely, 2^3852953 is an apocalyptic number.

It is an amenable number.

3852953 is a deficient number, since it is larger than the sum of its proper divisors (531595).

3852953 is a wasteful number, since it uses less digits than its factorization.

3852953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 853 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 3852953 is about 1962.8940368751. The cubic root of 3852953 is about 156.7705819316.

The spelling of 3852953 in words is "three million, eight hundred fifty-two thousand, nine hundred fifty-three".