4086964 has 12 divisors (see below), whose sum is σ = 8173984. Its totient is φ = 1751544.

The previous prime is 4086949. The next prime is 4086967. The reversal of 4086964 is 4696804.

4086964 = T₂₆₉ + T₂₇₀ + ... + T₃₅₂.

4086964 is an admirable number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086967) 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 3 ways as a sum of consecutive naturals, for example, 72954 + ... + 73009.

Almost surely, 2^4086964 is an apocalyptic number.

It is an amenable number.

4086964 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.

4086964 is a wasteful number, since it uses less digits than its factorization.

4086964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145974 (or 145972 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 4086964 is about 2021.6240995793. The cubic root of 4086964 is about 159.8822571251.

It can be divided in two parts, 4086 and 964, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 4086964 in words is "four million, eighty-six thousand, nine hundred sixty-four".