3131964 has 54 divisors (see below), whose sum is σ = 8714160. Its totient is φ = 947760.

The previous prime is 3131951. The next prime is 3131977. The reversal of 3131964 is 4691313.

It is an interprime number because it is at equal distance from previous prime (3131951) and next prime (3131977).

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 3997 + ... + 4715.

Almost surely, 2^3131964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080).

3131964 is an abundant number, since it is smaller than the sum of its proper divisors (5582196).

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

3131964 is a wasteful number, since it uses less digits than its factorization.

3131964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 735 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 3131964 is about 1769.7355734685. The cubic root of 3131964 is about 146.3094082555.

It can be divided in two parts, 3131 and 964, that added together give a triangular number (4095 = T₉₀).

The spelling of 3131964 in words is "three million, one hundred thirty-one thousand, nine hundred sixty-four".