95970 has 32 divisors (see below), whose sum is σ = 263808. Its totient is φ = 21888.

The previous prime is 95959. The next prime is 95971. The reversal of 95970 is 7959.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (95971) by changing a digit.

95970 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 15 ways as a sum of consecutive naturals, for example, 19 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (8244).

2⁹⁵⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131904).

95970 is an abundant number, since it is smaller than the sum of its proper divisors (167838).

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

95970 is a wasteful number, since it uses less digits than its factorization.

95970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 95970 is about 309.7902516220. The cubic root of 95970 is about 45.7837995625.

The spelling of 95970 in words is "ninety-five thousand, nine hundred seventy".