4687965 has 24 divisors (see below), whose sum is σ = 8555040. Its totient is φ = 2368224.

The previous prime is 4687961. The next prime is 4687967. The reversal of 4687965 is 5697864.

It is not a de Polignac number, because 4687965 - 2² = 4687961 is a prime.

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

It is a d-powerful number, because it can be written as 4⁵ + 6⁵ + 8⁷ + 7⁷ + 9³ + 6⁸ + 5⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 4687965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4687961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887 + ... + 3596.

It is an arithmetic number, because the mean of its divisors is an integer number (356460).

Almost surely, 2^4687965 is an apocalyptic number.

4687965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4687965 is a deficient number, since it is larger than the sum of its proper divisors (3867075).

4687965 is a wasteful number, since it uses less digits than its factorization.

4687965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5510 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4687965 is about 2165.1708939481. The cubic root of 4687965 is about 167.3637713166.

The spelling of 4687965 in words is "four million, six hundred eighty-seven thousand, nine hundred sixty-five".