5337129 has 12 divisors (see below), whose sum is σ = 8278224. Its totient is φ = 3049704.

The previous prime is 5337107. The next prime is 5337169. The reversal of 5337129 is 9217335.

5337129 = 536² + 537² + ... + 553².

It is not a de Polignac number, because 5337129 - 2¹¹ = 5335081 is a prime.

5337129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5337096 and 5337105.

It is not an unprimeable number, because it can be changed into a prime (5337169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18007 + ... + 18300.

It is an arithmetic number, because the mean of its divisors is an integer number (689852).

Almost surely, 2^5337129 is an apocalyptic number.

It is an amenable number.

5337129 is a deficient number, since it is larger than the sum of its proper divisors (2941095).

5337129 is a wasteful number, since it uses less digits than its factorization.

5337129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36324 (or 36317 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 5337129 is about 2310.2227165362. Note that the first 3 decimals coincide. The cubic root of 5337129 is about 174.7575308717.

The spelling of 5337129 in words is "five million, three hundred thirty-seven thousand, one hundred twenty-nine".