414133541 has 2 divisors, whose sum is σ = 414133542. Its totient is φ = 414133540.

The previous prime is 414133537. The next prime is 414133547. The reversal of 414133541 is 145331414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 389233441 + 24900100 = 19729^2 + 4990^2 .

It is a cyclic number.

It is not a de Polignac number, because 414133541 - 2² = 414133537 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414133541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414133547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207066770 + 207066771.

It is an arithmetic number, because the mean of its divisors is an integer number (207066771).

Almost surely, 2^414133541 is an apocalyptic number.

It is an amenable number.

414133541 is a deficient number, since it is larger than the sum of its proper divisors (1).

414133541 is an equidigital number, since it uses as much as digits as its factorization.

414133541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 26.

The square root of 414133541 is about 20350.2712758332. The cubic root of 414133541 is about 745.3841185386.

Adding to 414133541 its reverse (145331414), we get a palindrome (559464955).

The spelling of 414133541 in words is "four hundred fourteen million, one hundred thirty-three thousand, five hundred forty-one".