414557137 has 2 divisors, whose sum is σ = 414557138. Its totient is φ = 414557136.

The previous prime is 414557123. The next prime is 414557177. The reversal of 414557137 is 731755414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 243235216 + 171321921 = 15596^2 + 13089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414557137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414557096 and 414557105.

It is not a weakly prime, because it can be changed into another prime (414557177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207278568 + 207278569.

It is an arithmetic number, because the mean of its divisors is an integer number (207278569).

Almost surely, 2^414557137 is an apocalyptic number.

It is an amenable number.

414557137 is a deficient number, since it is larger than the sum of its proper divisors (1).

414557137 is an equidigital number, since it uses as much as digits as its factorization.

414557137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 58800, while the sum is 37.

The square root of 414557137 is about 20360.6762412254. The cubic root of 414557137 is about 745.6381703592.

The spelling of 414557137 in words is "four hundred fourteen million, five hundred fifty-seven thousand, one hundred thirty-seven".