114382593 has 12 divisors (see below), whose sum is σ = 177928660. Its totient is φ = 70389216.

The previous prime is 114382573. The next prime is 114382649. The reversal of 114382593 is 395283411.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 82029249 = 5688^2 + 9057^2 .

It is not a de Polignac number, because 114382593 - 2¹² = 114378497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114382553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488698 + ... + 488931.

Almost surely, 2^114382593 is an apocalyptic number.

114382593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114382593 is a deficient number, since it is larger than the sum of its proper divisors (63546067).

114382593 is a wasteful number, since it uses less digits than its factorization.

114382593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977648 (or 977645 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 114382593 is about 10694.9798036275. The cubic root of 114382593 is about 485.4225855992.

The spelling of 114382593 in words is "one hundred fourteen million, three hundred eighty-two thousand, five hundred ninety-three".