95790 has 32 divisors (see below), whose sum is σ = 239616. Its totient is φ = 24480.

The previous prime is 95789. The next prime is 95791. The reversal of 95790 is 9759.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95789) and next prime (95791).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2⁹⁵⁷⁹⁰ is an apocalyptic number.

It is a pronic number, being equal to 309×310.

It is a practical number, because each smaller number is the sum of distinct divisors of 95790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119808).

95790 is an abundant number, since it is smaller than the sum of its proper divisors (143826).

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

95790 is a wasteful number, since it uses less digits than its factorization.

95790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

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

The square root of 95790 is about 309.4995961225. The cubic root of 95790 is about 45.7551578287.

The spelling of 95790 in words is "ninety-five thousand, seven hundred ninety".