95220 has 54 divisors (see below), whose sum is σ = 301938. Its totient is φ = 24288.

The previous prime is 95219. The next prime is 95231. The reversal of 95220 is 2259.

95220 = 53² + 54² + ... + 75².

It can be written as a sum of positive squares in only one way, i.e., 76176 + 19044 = 276^2 + 138^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 95193 and 95202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4129 + ... + 4151.

2⁹⁵²²⁰ is an apocalyptic number.

95220 is a gapful number since it is divisible by the number (90) 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 95220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150969).

95220 is an abundant number, since it is smaller than the sum of its proper divisors (206718).

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

95220 is a wasteful number, since it uses less digits than its factorization.

95220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 95220 is about 308.5773808950. The cubic root of 95220 is about 45.6642216059.

Multiplying 95220 by its product of nonzero digits (180), we get a square (17139600 = 4140²).

95220 divided by its product of nonzero digits (180) gives a square (529 = 23²).

Adding to 95220 its reverse (2259), we get a palindrome (97479).

The spelling of 95220 in words is "ninety-five thousand, two hundred twenty".