95850 has 48 divisors (see below), whose sum is σ = 267840. Its totient is φ = 25200.

The previous prime is 95819. The next prime is 95857. The reversal of 95850 is 5859.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315 + ... + 1385.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁹⁵⁸⁵⁰ is an apocalyptic number.

95850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 95850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

95850 is an abundant number, since it is smaller than the sum of its proper divisors (171990).

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

95850 is a wasteful number, since it uses less digits than its factorization.

95850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 95850 is about 309.5965116083. The cubic root of 95850 is about 45.7647090570.

It can be divided in two parts, 9 and 5850, that multiplied together give a triangular number (52650 = T₃₂₄).

The spelling of 95850 in words is "ninety-five thousand, eight hundred fifty".