3906513 has 24 divisors (see below), whose sum is σ = 6143592. Its totient is φ = 2377728.

The previous prime is 3906493. The next prime is 3906541. The reversal of 3906513 is 3156093.

3906513 is a `hidden beast` number, since 3 + 9 + 0 + 651 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 3560769 = 588^2 + 1887^2 .

It is not a de Polignac number, because 3906513 - 2¹² = 3902417 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3906563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20145 + ... + 20337.

It is an arithmetic number, because the mean of its divisors is an integer number (255983).

Almost surely, 2^3906513 is an apocalyptic number.

It is an amenable number.

3906513 is a deficient number, since it is larger than the sum of its proper divisors (2237079).

3906513 is a wasteful number, since it uses less digits than its factorization.

3906513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 3906513 is about 1976.4900708073. The cubic root of 3906513 is about 157.4936656561.

It can be divided in two parts, 390 and 6513, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 3906513 in words is "three million, nine hundred six thousand, five hundred thirteen".