3972565 has 8 divisors (see below), whose sum is σ = 4931640. Its totient is φ = 3068352.

The previous prime is 3972541. The next prime is 3972569. The reversal of 3972565 is 5652793.

3972565 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 736164 + 3236401 = 858^2 + 1799^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3972565 - 2⁵ = 3972533 is a prime.

It is a d-powerful number, because it can be written as 3² + 9 + 7⁶ + 2²¹ + 5 + 6⁸ + 5⁷ .

3972565 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13554 + ... + 13843.

It is an arithmetic number, because the mean of its divisors is an integer number (616455).

Almost surely, 2^3972565 is an apocalyptic number.

It is an amenable number.

3972565 is a deficient number, since it is larger than the sum of its proper divisors (959075).

3972565 is a wasteful number, since it uses less digits than its factorization.

3972565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27431.

The product of its digits is 56700, while the sum is 37.

The square root of 3972565 is about 1993.1294488818. The cubic root of 3972565 is about 158.3763527303.

The spelling of 3972565 in words is "three million, nine hundred seventy-two thousand, five hundred sixty-five".