9965700 has 72 divisors (see below), whose sum is σ = 32046560. Its totient is φ = 2656800.

The previous prime is 9965699. The next prime is 9965701. The reversal of 9965700 is 75699.

9965700 = T₄₅₅ + T₄₅₆ + ... + T₅₃₅.

It is an interprime number because it is at equal distance from previous prime (9965699) and next prime (9965701).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (9965701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855 + ... + 4545.

Almost surely, 2^9965700 is an apocalyptic number.

9965700 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9965700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023280).

9965700 is an abundant number, since it is smaller than the sum of its proper divisors (22080860).

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

9965700 is a wasteful number, since it uses less digits than its factorization.

9965700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 9965700 is about 3156.8496955034. The cubic root of 9965700 is about 215.1968631356.

The spelling of 9965700 in words is "nine million, nine hundred sixty-five thousand, seven hundred".