3872593 has 4 divisors (see below), whose sum is σ = 3880548. Its totient is φ = 3864640.

The previous prime is 3872591. The next prime is 3872647. The reversal of 3872593 is 3952783.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3952783 = 71 ⋅55673.

It can be written as a sum of positive squares in 2 ways, for example, as 603729 + 3268864 = 777^2 + 1808^2 .

It is a cyclic number.

It is not a de Polignac number, because 3872593 - 2¹ = 3872591 is a prime.

It is a d-powerful number, because it can be written as 3⁵ + 8⁵ + 7⁷ + 2⁵ + 5⁹ + 9⁶ + 3¹² .

It is a Duffinian number.

3872593 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3872591) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3196 + ... + 4237.

It is an arithmetic number, because the mean of its divisors is an integer number (970137).

Almost surely, 2^3872593 is an apocalyptic number.

It is an amenable number.

3872593 is a deficient number, since it is larger than the sum of its proper divisors (7955).

3872593 is an equidigital number, since it uses as much as digits as its factorization.

3872593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954.

The product of its digits is 45360, while the sum is 37.

The square root of 3872593 is about 1967.8904949209. The cubic root of 3872593 is about 157.0365041492.

It can be divided in two parts, 3872 and 593, that added together give a triangular number (4465 = T₉₄).

The spelling of 3872593 in words is "three million, eight hundred seventy-two thousand, five hundred ninety-three".