95284 has 24 divisors (see below), whose sum is σ = 197568. Its totient is φ = 39360.

The previous prime is 95279. The next prime is 95287. The reversal of 95284 is 48259.

95284 = T₁ + T₂ + ... + T₈₂.

It is a happy number.

95284 is a nontrivial binomial coefficient, being equal to C(84, 3).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95287) by changing a digit.

95284 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 82-nd tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1107 + ... + 1189.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

2⁹⁵²⁸⁴ 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 95284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98784).

95284 is an abundant number, since it is smaller than the sum of its proper divisors (102284).

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

95284 is a wasteful number, since it uses less digits than its factorization.

95284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 95284 is about 308.6810651789. The cubic root of 95284 is about 45.6744500441.

95284 divided by its sum of digits (28) gives a triangular number (3403 = T₈₂).

The spelling of 95284 in words is "ninety-five thousand, two hundred eighty-four".