114393825 has 144 divisors (see below), whose sum is σ = 260705536. Its totient is φ = 46656000.

The previous prime is 114393823. The next prime is 114393827. The reversal of 114393825 is 528393411.

It is an interprime number because it is at equal distance from previous prime (114393823) and next prime (114393827).

It is not a de Polignac number, because 114393825 - 2¹ = 114393823 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (25920) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 114393825.

It is not an unprimeable number, because it can be changed into a prime (114393821) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 757500 + ... + 757650.

Almost surely, 2^114393825 is an apocalyptic number.

114393825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114393825 is an abundant number, since it is smaller than the sum of its proper divisors (146311711).

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

114393825 is a wasteful number, since it uses less digits than its factorization.

114393825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

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

The square root of 114393825 is about 10695.5048969181. The cubic root of 114393825 is about 485.4384740541.

The spelling of 114393825 in words is "one hundred fourteen million, three hundred ninety-three thousand, eight hundred twenty-five".