772083953 has 2 divisors, whose sum is σ = 772083954. Its totient is φ = 772083952.

The previous prime is 772083937. The next prime is 772083959. The reversal of 772083953 is 359380277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 717811264 + 54272689 = 26792^2 + 7367^2 .

It is an emirp because it is prime and its reverse (359380277) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 772083953 - 2⁴ = 772083937 is a prime.

It is a super-2 number, since 2×772083953² = 1192227260960212418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (772083959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386041976 + 386041977.

It is an arithmetic number, because the mean of its divisors is an integer number (386041977).

Almost surely, 2^772083953 is an apocalyptic number.

It is an amenable number.

772083953 is a deficient number, since it is larger than the sum of its proper divisors (1).

772083953 is an equidigital number, since it uses as much as digits as its factorization.

772083953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 772083953 is about 27786.3987051219. The cubic root of 772083953 is about 917.3917749332.

The spelling of 772083953 in words is "seven hundred seventy-two million, eighty-three thousand, nine hundred fifty-three".