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264731 is a prime number
BaseRepresentation
bin1000000101000011011
3111110010212
41000220123
531432411
65401335
72151545
oct1005033
9443125
10264731
11170995
1210924b
139365c
146c695
155368b
hex40a1b

264731 has 2 divisors, whose sum is σ = 264732. Its totient is φ = 264730.

The previous prime is 264697. The next prime is 264739. The reversal of 264731 is 137462.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264731 is a prime.

It is a super-2 number, since 2×2647312 = 140165004722, which contains 22 as substring.

It is a d-powerful number, because it can be written as 29 + 64 + 72 + 49 + 36 + 1 .

It is a junction number, because it is equal to n+sod(n) for n = 264697 and 264706.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264731.

It is not a weakly prime, because it can be changed into another prime (264739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132365 + 132366.

It is an arithmetic number, because the mean of its divisors is an integer number (132366).

2264731 is an apocalyptic number.

264731 is a deficient number, since it is larger than the sum of its proper divisors (1).

264731 is an equidigital number, since it uses as much as digits as its factorization.

264731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 23.

The square root of 264731 is about 514.5201648138. The cubic root of 264731 is about 64.2098418221.

The spelling of 264731 in words is "two hundred sixty-four thousand, seven hundred thirty-one".