3827997 has 6 divisors (see below), whose sum is σ = 5529342. Its totient is φ = 2551992.

The previous prime is 3827981. The next prime is 3828007. The reversal of 3827997 is 7997283.

It can be written as a sum of positive squares in only one way, i.e., 3767481 + 60516 = 1941^2 + 246^2 .

It is not a de Polignac number, because 3827997 - 2⁴ = 3827981 is a prime.

It is a super-2 number, since 2×3827997² = 29307122064018, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3¹³ + 8⁷ + 2¹¹ + 7⁵ + 9 + 9 + 7⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827927) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 212658 + ... + 212675.

It is an arithmetic number, because the mean of its divisors is an integer number (921557).

Almost surely, 2^3827997 is an apocalyptic number.

It is an amenable number.

3827997 is a deficient number, since it is larger than the sum of its proper divisors (1701345).

3827997 is a wasteful number, since it uses less digits than its factorization.

3827997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425339 (or 425336 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 3827997 is about 1956.5267695588. The cubic root of 3827997 is about 156.4313750849.

The spelling of 3827997 in words is "three million, eight hundred twenty-seven thousand, nine hundred ninety-seven".