114390 has 48 divisors (see below), whose sum is σ = 314496. Its totient is φ = 28800.

The previous prime is 114377. The next prime is 114407. The reversal of 114390 is 93411.

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

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

114390 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2770 + ... + 2810.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

114390 is a Friedman number, since it can be written as 310*41*9, using all its digits and the basic arithmetic operations.

2¹¹⁴³⁹⁰ is an apocalyptic number.

114390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

114390 is an abundant number, since it is smaller than the sum of its proper divisors (200106).

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

114390 is a wasteful number, since it uses less digits than its factorization.

114390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 114390 is about 338.2159073728. The cubic root of 114390 is about 48.5433063439.

The spelling of 114390 in words is "one hundred fourteen thousand, three hundred ninety".