4965700 has 72 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 1774080.

The previous prime is 4965689. The next prime is 4965731. The reversal of 4965700 is 75694.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39037 + ... + 39163.

It is an arithmetic number, because the mean of its divisors is an integer number (166656).

Almost surely, 2^4965700 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 4965700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

4965700 is an abundant number, since it is smaller than the sum of its proper divisors (7033532).

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

4965700 is a wasteful number, since it uses less digits than its factorization.

4965700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 4965700 is about 2228.3850654678. The cubic root of 4965700 is about 170.6056826248.

It can be divided in two parts, 4965 and 700, that added together give a palindrome (5665).

The spelling of 4965700 in words is "four million, nine hundred sixty-five thousand, seven hundred".