113763 has 8 divisors (see below), whose sum is σ = 163408. Its totient is φ = 69984.

The previous prime is 113761. The next prime is 113777. The reversal of 113763 is 367311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 113763 - 2¹ = 113761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1420 + ... + 1497.

It is an arithmetic number, because the mean of its divisors is an integer number (20426).

2¹¹³⁷⁶³ is an apocalyptic number.

113763 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

113763 is a deficient number, since it is larger than the sum of its proper divisors (49645).

113763 is a wasteful number, since it uses less digits than its factorization.

113763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933.

The product of its digits is 378, while the sum is 21.

The square root of 113763 is about 337.2877110124. The cubic root of 113763 is about 48.4544511604.

It can be divided in two parts, 1137 and 63, that multiplied together give a triangular number (71631 = T₃₇₈).

The spelling of 113763 in words is "one hundred thirteen thousand, seven hundred sixty-three".