95634 has 64 divisors (see below), whose sum is σ = 276480. Its totient is φ = 23760.

The previous prime is 95633. The next prime is 95651. The reversal of 95634 is 43659.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 95598 and 95607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4147 + ... + 4169.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁹⁵⁶³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

95634 is an abundant number, since it is smaller than the sum of its proper divisors (180846).

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

95634 is a wasteful number, since it uses less digits than its factorization.

95634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 95634 is about 309.2474737164. The cubic root of 95634 is about 45.7303059551.

It can be divided in two parts, 956 and 34, that added together give a triangular number (990 = T₄₄).

The spelling of 95634 in words is "ninety-five thousand, six hundred thirty-four".