114313032 has 112 divisors (see below), whose sum is σ = 340556940. Its totient is φ = 35831808.

The previous prime is 114313021. The next prime is 114313033. The reversal of 114313032 is 230313411.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 10150596 = 10206^2 + 3186^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 114312996 and 114313014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114313033) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 98568 + ... + 99720.

Almost surely, 2^114313032 is an apocalyptic number.

114313032 is a gapful number since it is divisible by the number (12) 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 114313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170278470).

114313032 is an abundant number, since it is smaller than the sum of its proper divisors (226243908).

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

114313032 is a wasteful number, since it uses less digits than its factorization.

114313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 114313032 is about 10691.7272692489. The cubic root of 114313032 is about 485.3241634912.

Adding to 114313032 its reverse (230313411), we get a palindrome (344626443).

The spelling of 114313032 in words is "one hundred fourteen million, three hundred thirteen thousand, thirty-two".