58406429 has 2 divisors, whose sum is σ = 58406430. Its totient is φ = 58406428.

The previous prime is 58406333. The next prime is 58406431. The reversal of 58406429 is 92460485.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29997529 + 28408900 = 5477^2 + 5330^2 .

It is a cyclic number.

It is not a de Polignac number, because 58406429 - 2²⁴ = 41629213 is a prime.

It is a super-2 number, since 2×58406429² = 6822621897064082, which contains 22 as substring.

Together with 58406431, 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 = 58406392 and 58406401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58406479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29203214 + 29203215.

It is an arithmetic number, because the mean of its divisors is an integer number (29203215).

Almost surely, 2^58406429 is an apocalyptic number.

It is an amenable number.

58406429 is a deficient number, since it is larger than the sum of its proper divisors (1).

58406429 is an equidigital number, since it uses as much as digits as its factorization.

58406429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 58406429 is about 7642.4098947910. The cubic root of 58406429 is about 387.9897192337.

The spelling of 58406429 in words is "fifty-eight million, four hundred six thousand, four hundred twenty-nine".