3997764 has 18 divisors (see below), whose sum is σ = 10105550. Its totient is φ = 1332576.

The previous prime is 3997759. The next prime is 3997769. The reversal of 3997764 is 4677993.

It is an interprime number because it is at equal distance from previous prime (3997759) and next prime (3997769).

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 311364 = 1920^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (3997769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55489 + ... + 55560.

Almost surely, 2^3997764 is an apocalyptic number.

It is an amenable number.

3997764 is an abundant number, since it is smaller than the sum of its proper divisors (6107786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3997764 is a wasteful number, since it uses less digits than its factorization.

3997764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111059 (or 111054 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 3997764 is about 1999.4409218579. The cubic root of 3997764 is about 158.7105211107.

It can be divided in two parts, 3997 and 764, that added together give a square (4761 = 69²).

The spelling of 3997764 in words is "three million, nine hundred ninety-seven thousand, seven hundred sixty-four".