264997 has 2 divisors, whose sum is σ = 264998. Its totient is φ = 264996.

The previous prime is 264991. The next prime is 265003. The reversal of 264997 is 799462.

It is a balanced prime because it is at equal distance from previous prime (264991) and next prime (265003).

It can be written as a sum of positive squares in only one way, i.e., 181476 + 83521 = 426^2 + 289^2 .

It is a cyclic number.

It is not a de Polignac number, because 264997 - 2¹¹ = 262949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264991) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132498 + 132499.

It is an arithmetic number, because the mean of its divisors is an integer number (132499).

2²⁶⁴⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

264997 is a deficient number, since it is larger than the sum of its proper divisors (1).

264997 is an equidigital number, since it uses as much as digits as its factorization.

264997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 37.

The square root of 264997 is about 514.7785931835. The cubic root of 264997 is about 64.2313405014.

The spelling of 264997 in words is "two hundred sixty-four thousand, nine hundred ninety-seven".