114331000 has 64 divisors (see below), whose sum is σ = 305772480. Its totient is φ = 39196800.

The previous prime is 114330991. The next prime is 114331013. The reversal of 114331000 is 133411.

It is a super-2 number, since 2×114331000² = 26143155122000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167 + ... + 15166.

It is an arithmetic number, because the mean of its divisors is an integer number (4777695).

Almost surely, 2^114331000 is an apocalyptic number.

114331000 is a gapful number since it is divisible by the number (10) 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 114331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152886240).

114331000 is an abundant number, since it is smaller than the sum of its proper divisors (191441480).

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

114331000 is a wasteful number, since it uses less digits than its factorization.

114331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16361 (or 16347 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 114331000 is about 10692.5675120618. The cubic root of 114331000 is about 485.3495903026.

Adding to 114331000 its reverse (133411), we get a palindrome (114464411).

The spelling of 114331000 in words is "one hundred fourteen million, three hundred thirty-one thousand".