3972635 has 8 divisors (see below), whose sum is σ = 4816896. Its totient is φ = 3144960.

The previous prime is 3972601. The next prime is 3972643. The reversal of 3972635 is 5362793.

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

It is a de Polignac number, because none of the positive numbers 2^k-3972635 is a prime.

It is a d-powerful number, because it can be written as 3 + 9 + 7⁶ + 2²¹ + 6⁸ + 3⁴ + 5⁷ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3972595 and 3972604.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3611 + ... + 4580.

It is an arithmetic number, because the mean of its divisors is an integer number (602112).

Almost surely, 2^3972635 is an apocalyptic number.

3972635 is a deficient number, since it is larger than the sum of its proper divisors (844261).

3972635 is an equidigital number, since it uses as much as digits as its factorization.

3972635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293.

The product of its digits is 34020, while the sum is 35.

The square root of 3972635 is about 1993.1470091290. The cubic root of 3972635 is about 158.3772829672.

The spelling of 3972635 in words is "three million, nine hundred seventy-two thousand, six hundred thirty-five".