3957975 has 54 divisors (see below), whose sum is σ = 8269560. Its totient is φ = 1804320.

The previous prime is 3957973. The next prime is 3957983. The reversal of 3957975 is 5797593.

It is a happy number.

3957975 is a `hidden beast` number, since 3 + 9 + 579 + 75 = 666.

It is not a de Polignac number, because 3957975 - 2¹ = 3957973 is a prime.

It is a super-2 number, since 2×3957975² = 31331132201250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nude number because it is divisible by every one of its digits.

3957975 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3957975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957973) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 10846 + ... + 11204.

It is an arithmetic number, because the mean of its divisors is an integer number (153140).

Almost surely, 2^3957975 is an apocalyptic number.

3957975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3957975 is an abundant number, since it is smaller than the sum of its proper divisors (4311585).

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

3957975 is a wasteful number, since it uses less digits than its factorization.

3957975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its digits is 297675, while the sum is 45.

The square root of 3957975 is about 1989.4660087571. The cubic root of 3957975 is about 158.1822257944.

The spelling of 3957975 in words is "three million, nine hundred fifty-seven thousand, nine hundred seventy-five".