395136 has 96 divisors (see below), whose sum is σ = 1326000. Its totient is φ = 112896.

The previous prime is 395119. The next prime is 395137. The reversal of 395136 is 631593.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×395136² = 312264916992, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56445 + ... + 56451.

395136 is a Friedman number, since it can be written as (56^3*9)/(3+1), using all its digits and the basic arithmetic operations.

2³⁹⁵¹³⁶ is an apocalyptic number.

395136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663000).

395136 is an abundant number, since it is smaller than the sum of its proper divisors (930864).

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

395136 is an equidigital number, since it uses as much as digits as its factorization.

395136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 12 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 395136 is about 628.5984409780. The cubic root of 395136 is about 73.3807590378.

The spelling of 395136 in words is "three hundred ninety-five thousand, one hundred thirty-six".