114321753 has 144 divisors (see below), whose sum is σ = 235186560. Its totient is φ = 54286848.

The previous prime is 114321743. The next prime is 114321797. The reversal of 114321753 is 357123411.

It is not a de Polignac number, because 114321753 - 2⁵ = 114321721 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2520) is a multiple of the sum of its prime divisors (63).

It is not an unprimeable number, because it can be changed into a prime (114321703) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 4970500 + ... + 4970522.

It is an arithmetic number, because the mean of its divisors is an integer number (1633240).

Almost surely, 2^114321753 is an apocalyptic number.

114321753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114321753 is an abundant number, since it is smaller than the sum of its proper divisors (120864807).

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

114321753 is a wasteful number, since it uses less digits than its factorization.

114321753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 114321753 is about 10692.1351001566. The cubic root of 114321753 is about 485.3365050541.

The spelling of 114321753 in words is "one hundred fourteen million, three hundred twenty-one thousand, seven hundred fifty-three".