1017114 has 32 divisors (see below), whose sum is σ = 2368896. Its totient is φ = 285120.

The previous prime is 1017097. The next prime is 1017119. The reversal of 1017114 is 4117101.

1017114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1017093 and 1017102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2364 + ... + 2760.

It is an arithmetic number, because the mean of its divisors is an integer number (74028).

2^1017114 is an apocalyptic number.

1017114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184448).

1017114 is an abundant number, since it is smaller than the sum of its proper divisors (1351782).

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

1017114 is a wasteful number, since it uses less digits than its factorization.

1017114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470.

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 1017114 is about 1008.5206988456. The cubic root of 1017114 is about 100.5672429372.

The spelling of 1017114 in words is "one million, seventeen thousand, one hundred fourteen".