114964 has 12 divisors (see below), whose sum is σ = 206388. Its totient is φ = 56000.

The previous prime is 114941. The next prime is 114967. The reversal of 114964 is 469411.

It can be written as a sum of positive squares in 2 ways, for example, as 48400 + 66564 = 220^2 + 258^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114967) by changing a digit.

114964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187 + ... + 514.

It is an arithmetic number, because the mean of its divisors is an integer number (17199).

2¹¹⁴⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

114964 is a deficient number, since it is larger than the sum of its proper divisors (91424).

114964 is a wasteful number, since it uses less digits than its factorization.

114964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 744 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 114964 is about 339.0634158974. The cubic root of 114964 is about 48.6243664049.

It can be divided in two parts, 1149 and 64, that multiplied together give a triangular number (73536 = T₃₈₃).

The spelling of 114964 in words is "one hundred fourteen thousand, nine hundred sixty-four".