772213 has 8 divisors (see below), whose sum is σ = 838656. Its totient is φ = 706800.

The previous prime is 772207. The next prime is 772229. The reversal of 772213 is 312277.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 772213 - 2⁵ = 772181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2328 + ... + 2638.

It is an arithmetic number, because the mean of its divisors is an integer number (104832).

2⁷⁷²²¹³ is an apocalyptic number.

It is an amenable number.

772213 is a deficient number, since it is larger than the sum of its proper divisors (66443).

772213 is a wasteful number, since it uses less digits than its factorization.

772213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

The product of its digits is 588, while the sum is 22.

The square root of 772213 is about 878.7565077995. The cubic root of 772213 is about 91.7442883391.

The spelling of 772213 in words is "seven hundred seventy-two thousand, two hundred thirteen".