537413 has 2 divisors, whose sum is σ = 537414. Its totient is φ = 537412.

The previous prime is 537403. The next prime is 537497. The reversal of 537413 is 314735.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 521284 + 16129 = 722^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 537413 - 2⁸ = 537157 is a prime.

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 537413.

It is not a weakly prime, because it can be changed into another prime (537403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268706 + 268707.

It is an arithmetic number, because the mean of its divisors is an integer number (268707).

2⁵³⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

537413 is a deficient number, since it is larger than the sum of its proper divisors (1).

537413 is an equidigital number, since it uses as much as digits as its factorization.

537413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 23.

The square root of 537413 is about 733.0845790221. The cubic root of 537413 is about 81.3022795690.

The spelling of 537413 in words is "five hundred thirty-seven thousand, four hundred thirteen".