264741 has 16 divisors (see below), whose sum is σ = 388800. Its totient is φ = 159488.

The previous prime is 264739. The next prime is 264743. The reversal of 264741 is 147462.

It is an interprime number because it is at equal distance from previous prime (264739) and next prime (264743).

It is a cyclic number.

It is not a de Polignac number, because 264741 - 2¹ = 264739 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1390 + ... + 1568.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2²⁶⁴⁷⁴¹ is an apocalyptic number.

It is an amenable number.

264741 is a deficient number, since it is larger than the sum of its proper divisors (124059).

264741 is a wasteful number, since it uses less digits than its factorization.

264741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228.

The product of its digits is 1344, while the sum is 24.

The square root of 264741 is about 514.5298825141. The cubic root of 264741 is about 64.2106503036.

Adding to 264741 its product of digits (1344), we get a triangular number (266085 = T₇₂₉).

The spelling of 264741 in words is "two hundred sixty-four thousand, seven hundred forty-one".