95392 has 24 divisors (see below), whose sum is σ = 205632. Its totient is φ = 43200.

The previous prime is 95383. The next prime is 95393. The reversal of 95392 is 29359.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 95392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95393) by changing a digit.

95392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 217 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2⁹⁵³⁹² 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 95392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816).

95392 is an abundant number, since it is smaller than the sum of its proper divisors (110240).

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

95392 is a wasteful number, since it uses less digits than its factorization.

95392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its digits is 2430, while the sum is 28.

The square root of 95392 is about 308.8559534799. The cubic root of 95392 is about 45.6917001528.

The spelling of 95392 in words is "ninety-five thousand, three hundred ninety-two".