3141964 has 12 divisors (see below), whose sum is σ = 6283984. Its totient is φ = 1346544.

The previous prime is 3141959. The next prime is 3142019. The reversal of 3141964 is 4691413.

3141964 = 4⁴ + 5⁴ + ... + 27⁴.

3141964 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 112213 = 3141964 / (3 + 1 + 4 + 1 + 9 + 6 + 4).

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 3 ways as a sum of consecutive naturals, for example, 56079 + ... + 56134.

Almost surely, 2^3141964 is an apocalyptic number.

It is an amenable number.

3141964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

3141964 is a wasteful number, since it uses less digits than its factorization.

3141964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112224 (or 112222 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 3141964 is about 1772.5586026984. The cubic root of 3141964 is about 146.4649591787.

It can be divided in two parts, 314 and 1964, that added together give a triangular number (2278 = T₆₇).

The spelling of 3141964 in words is "three million, one hundred forty-one thousand, nine hundred sixty-four".