429739137 has 12 divisors (see below), whose sum is σ = 620928724. Its totient is φ = 286403040.

The previous prime is 429739133. The next prime is 429739147. The reversal of 429739137 is 731937924.

It can be written as a sum of positive squares in 2 ways, for example, as 240374016 + 189365121 = 15504^2 + 13761^2 .

It is not a de Polignac number, because 429739137 - 2² = 429739133 is a prime.

It is a super-3 number, since 3×429739137³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 429739092 and 429739101.

It is not an unprimeable number, because it can be changed into a prime (429739133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36423 + ... + 46755.

Almost surely, 2^429739137 is an apocalyptic number.

It is an amenable number.

429739137 is a deficient number, since it is larger than the sum of its proper divisors (191189587).

429739137 is a wasteful number, since it uses less digits than its factorization.

429739137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14960 (or 14957 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 429739137 is about 20730.1504336076. The cubic root of 429739137 is about 754.6315685540.

It can be divided in two parts, 4297 and 39137, that added together give a palindrome (43434).

The spelling of 429739137 in words is "four hundred twenty-nine million, seven hundred thirty-nine thousand, one hundred thirty-seven".