3753997 has 12 divisors (see below), whose sum is σ = 4124820. Its totient is φ = 3414528.

The previous prime is 3753989. The next prime is 3754019. The reversal of 3753997 is 7993573.

It can be written as a sum of positive squares in 6 ways, for example, as 90601 + 3663396 = 301^2 + 1914^2 .

It is not a de Polignac number, because 3753997 - 2³ = 3753989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3753917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16279 + ... + 16507.

It is an arithmetic number, because the mean of its divisors is an integer number (343735).

Almost surely, 2^3753997 is an apocalyptic number.

It is an amenable number.

3753997 is a deficient number, since it is larger than the sum of its proper divisors (370823).

3753997 is a wasteful number, since it uses less digits than its factorization.

3753997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its digits is 178605, while the sum is 43.

The square root of 3753997 is about 1937.5234192133. The cubic root of 3753997 is about 155.4168039572.

It can be divided in two parts, 37539 and 97, that added together give a square (37636 = 194²).

The spelling of 3753997 in words is "three million, seven hundred fifty-three thousand, nine hundred ninety-seven".