416634133 has 2 divisors, whose sum is σ = 416634134. Its totient is φ = 416634132.

The previous prime is 416634107. The next prime is 416634137. The reversal of 416634133 is 331436614.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363970084 + 52664049 = 19078^2 + 7257^2 .

It is a cyclic number.

It is not a de Polignac number, because 416634133 - 2²⁵ = 383079701 is a prime.

It is equal to p_22175185 and since 416634133 and 22175185 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 416634095 and 416634104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416634137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208317066 + 208317067.

It is an arithmetic number, because the mean of its divisors is an integer number (208317067).

Almost surely, 2^416634133 is an apocalyptic number.

It is an amenable number.

416634133 is a deficient number, since it is larger than the sum of its proper divisors (1).

416634133 is an equidigital number, since it uses as much as digits as its factorization.

416634133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15552, while the sum is 31.

The square root of 416634133 is about 20411.6175988088. The cubic root of 416634133 is about 746.8813510498.

It can be divided in two parts, 41663 and 4133, that added together give a square (45796 = 214²).

The spelling of 416634133 in words is "four hundred sixteen million, six hundred thirty-four thousand, one hundred thirty-three".