95700 has 72 divisors (see below), whose sum is σ = 312480. Its totient is φ = 22400.

The previous prime is 95651. The next prime is 95701. The reversal of 95700 is 759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95701) by changing a digit.

95700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3286 + ... + 3314.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

2⁹⁵⁷⁰⁰ 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 95700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

95700 is an abundant number, since it is smaller than the sum of its proper divisors (216780).

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

95700 is a wasteful number, since it uses less digits than its factorization.

95700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 95700 is about 309.3541659652. The cubic root of 95700 is about 45.7408235051.

The spelling of 95700 in words is "ninety-five thousand, seven hundred".