3685257 has 10 divisors (see below), whose sum is σ = 5505258. Its totient is φ = 2456784.

The previous prime is 3685247. The next prime is 3685273. The reversal of 3685257 is 7525863.

3685257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2595321 + 1089936 = 1611^2 + 1044^2 .

It is not a de Polignac number, because 3685257 - 2¹¹ = 3683209 is a prime.

It is a super-2 number, since 2×3685257² = 27162238312098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22668 + ... + 22829.

Almost surely, 2^3685257 is an apocalyptic number.

It is an amenable number.

3685257 is a deficient number, since it is larger than the sum of its proper divisors (1820001).

3685257 is an equidigital number, since it uses as much as digits as its factorization.

3685257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45509 (or 45500 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 3685257 is about 1919.7023206737. The cubic root of 3685257 is about 154.4623341115.

Subtracting 3685257 from its reverse (7525863), we obtain a triangular number (3840606 = T₂₇₇₁).

It can be divided in two parts, 368 and 5257, that added together give a square (5625 = 75²).

The spelling of 3685257 in words is "three million, six hundred eighty-five thousand, two hundred fifty-seven".