4967916 has 48 divisors (see below), whose sum is σ = 12155136. Its totient is φ = 1577664.

The previous prime is 4967909. The next prime is 4967917. The reversal of 4967916 is 6197694.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 4⁴ + 9⁵ + 6³ + 7⁶ + 9⁷ + 1 + 6⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29665 + ... + 29831.

It is an arithmetic number, because the mean of its divisors is an integer number (253232).

Almost surely, 2^4967916 is an apocalyptic number.

It is an amenable number.

4967916 is an abundant number, since it is smaller than the sum of its proper divisors (7187220).

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

4967916 is a wasteful number, since it uses less digits than its factorization.

4967916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 4967916 is about 2228.8822310746. The cubic root of 4967916 is about 170.6310570915.

The spelling of 4967916 in words is "four million, nine hundred sixty-seven thousand, nine hundred sixteen".