3952585 has 48 divisors (see below), whose sum is σ = 6377616. Its totient is φ = 2322432.

The previous prime is 3952583. The next prime is 3952601. The reversal of 3952585 is 5852593.

It can be written as a sum of positive squares in 8 ways, for example, as 28224 + 3924361 = 168^2 + 1981^2 .

It is not a de Polignac number, because 3952585 - 2¹ = 3952583 is a prime.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3952583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54109 + ... + 54181.

It is an arithmetic number, because the mean of its divisors is an integer number (132867).

Almost surely, 2^3952585 is an apocalyptic number.

3952585 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3952585 is a deficient number, since it is larger than the sum of its proper divisors (2425031).

3952585 is a wasteful number, since it uses less digits than its factorization.

3952585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

The product of its digits is 54000, while the sum is 37.

The square root of 3952585 is about 1988.1109123990. The cubic root of 3952585 is about 158.1103885951.

The spelling of 3952585 in words is "three million, nine hundred fifty-two thousand, five hundred eighty-five".