264029 has 2 divisors, whose sum is σ = 264030. Its totient is φ = 264028.

The previous prime is 264013. The next prime is 264031. The reversal of 264029 is 920462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158404 + 105625 = 398^2 + 325^2 .

It is a cyclic number.

It is not a de Polignac number, because 264029 - 2⁴ = 264013 is a prime.

It is a super-2 number, since 2×264029² = 139422625682, which contains 22 as substring.

Together with 264031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 263995 and 264013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264029.

It is not a weakly prime, because it can be changed into another prime (264059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132014 + 132015.

It is an arithmetic number, because the mean of its divisors is an integer number (132015).

2²⁶⁴⁰²⁹ is an apocalyptic number.

It is an amenable number.

264029 is a deficient number, since it is larger than the sum of its proper divisors (1).

264029 is an equidigital number, since it uses as much as digits as its factorization.

264029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 264029 is about 513.8375229584. The cubic root of 264029 is about 64.1530354658.

The spelling of 264029 in words is "two hundred sixty-four thousand, twenty-nine".