415201973 has 2 divisors, whose sum is σ = 415201974. Its totient is φ = 415201972.

The previous prime is 415201951. The next prime is 415201979. The reversal of 415201973 is 379102514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412821124 + 2380849 = 20318^2 + 1543^2 .

It is a cyclic number.

It is not a de Polignac number, because 415201973 - 2¹⁶ = 415136437 is a prime.

It is a super-3 number, since 3×415201973³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415201979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207600986 + 207600987.

It is an arithmetic number, because the mean of its divisors is an integer number (207600987).

Almost surely, 2^415201973 is an apocalyptic number.

It is an amenable number.

415201973 is a deficient number, since it is larger than the sum of its proper divisors (1).

415201973 is an equidigital number, since it uses as much as digits as its factorization.

415201973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 415201973 is about 20376.5054167784. The cubic root of 415201973 is about 746.0245788968.

The spelling of 415201973 in words is "four hundred fifteen million, two hundred one thousand, nine hundred seventy-three".