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114921 = 321132
BaseRepresentation
bin11100000011101001
312211122100
4130003221
512134141
62244013
7656022
oct340351
9184570
10114921
1179384
1256609
1340401
142dc49
15240b6
hex1c0e9

114921 has 9 divisors (see below), whose sum is σ = 167479. Its totient is φ = 75936.

The previous prime is 114913. The next prime is 114941. The reversal of 114921 is 129411.

The square root of 114921 is 339.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2025 + 112896 = 45^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 114921 - 23 = 114913 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114894 and 114903.

It is not an unprimeable number, because it can be changed into a prime (114901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 961 + ... + 1073.

114921 is a Friedman number, since it can be written as 9*(114-1)^2, using all its digits and the basic arithmetic operations.

2114921 is an apocalyptic number.

114921 is the 339-th square number.

114921 is the 170-th centered octagonal number.

It is an amenable number.

114921 is a deficient number, since it is larger than the sum of its proper divisors (52558).

114921 is an equidigital number, since it uses as much as digits as its factorization.

114921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 116 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The cubic root of 114921 is about 48.6183033228.

The spelling of 114921 in words is "one hundred fourteen thousand, nine hundred twenty-one".

Divisors: 1 3 9 113 339 1017 12769 38307 114921